index [link.springer.com]978-3-0348-9217-9/1.pdfcompact hermitian symmetric space, 557, 560, 561,...
Post on 28-Jun-2020
4 Views
Preview:
TRANSCRIPT
Index
O-surgery, 250 I-jet, 283, 285
A-cusp-curves, 549 (a, b)-realization, 336 abelian representations, 85 action functional, 456 adapted pair, 350 admissible P, 235 algebre de Lie, 116 almost complex structure compati
ble with w, 535 almost self-dual, 365, 375, 402
- configuration, 357, 362, 365, 367,369,393,411,419
ampleness, 585 anti-self dual, 591
- connection, 203, 437, 438, 441 anti-self-duality, 436 application moment, 109, 111, 113,
115, 117-119 Arnold conjecture, 124,283,297,
445, 446, 483, 556, 575 asymptotically fiat, 4, 43
- manifold, 5, 6, 32, 44, 49, 50, 53, 54
Atiyah-Jones conjecture, 305 axioms, 525
- of symplectic capacities, 525
Bennequin invariants, 99 bi-invariant, 529
- metric, 529 bicomplex, 632, 633 bicomplexes, 628 Bishop family, 338 blowing down, 439 Bogomolny equation, 3, 6, 43, 355,
360 Borromean rings, 253, 439 Bott-Shulman construction, 634 braid group, 100, 101, 103
Brieskorn sphere, 77, 253 bubbling, 304, 307 bubbling off, 587
c-homeomorhism, 188 c-regular, 186, 189 c-symplectomorphism, 192 CEwcapacity, 190, 191 Calabi-Yau manifold, 507, 515, 645 Caley transform, 466 calibrated, 337 canonical line bundle, 530 Cartan involution, 562, 563 Casson invariant, 99, 627 Cazimir functions, 455 center map, 382 Cerf diagram, 287 chain homotopy, 231 chain isomorphism, 96 characteristic foliation, 337, 338,
547, 554 charge, 7,8,46,637,640,647,676 Chern class, 203 Chern-Simons
- function, 78, 89, 96, 177,203 - functional, 107, 123, 165, 196,
210, 218, 268, 301, 537, 622 - gauge theory, 637, 638, 648,
665,667 - invariant, 203, 627 - theory, 647, 649, 654, 657,
661,668,669,676 Chern-Weil
- integral, 215, 231 - theory, 226, 232
circle bundle, 588, 589, 595, 598 Clark duality, 330 classifying space, 299, 301 Clifford module, 17, 18 closed characteristic, 530, 531, 552 coadjoint orbits, 100, 103 coadjoint representation, 100, 102
680
cobordism, 197-202, 224, 437, 442 compact Hermitian symmetric
space, 557, 560, 561, 566 compact smooth category, 303-305,
314 compact smooth framed category,
312,313 complex-like orientation, 337 configuration, 374, 375 conformally invariant, 640, 642 Conley-Zehnder index, 484, 501,
502, 505, 507, 508, 510, 515 connected sum decomposition, 88 connection, 3, 8-10, 14,35,43,44,
47-50, 53-55, 57, 100, 103, 196, 301, 355, 374, 409, 410, 412, 416, 421, 591, 627, 638, 639, 645, 647-649, 653, 665, 670, 671
connection deformed-flat, 215 contact
- form, 284 - isotopy, 286, 289, 294 - structure, 99 - transformation, 285, 288, 291
convex integration, 585 cotangent bundle, 100-103 coupling, 637, 640, 642, 646, 648,
649, 656, 657, 663, 664, 674-676 courbe hyperelliptique, 109, 112,
113 cup product, 136, 148, 160, 269,
279,610 curvature, 3, 4, 35, 43, 48, 54-57,
593, 649, 671 - 2-form,79
D-cohomology, 603, 604 de Rham-bar bicomplex, 628 deformation complex, 361 deformed instanton equations, 219,
224 deformed product, 279 degree of a gauge transformation,
237 Dehn surgery, 85, 242
Index
Dehn twist, 102 determinant line bundle, 82 Dirac monopole, 360, 370 Dirac string, 370 discriminant, 1I5-l18, 121 displace, 190 displacement energy, 529, 579 distance function, 186 Donaldson
- invariant, 107,435--438, 587, 588-591, 597, 600, 602, 604, 605
- polynomial, 435, 438 - Donaldson polynomial invari-
ants, 124 double complex, 628, 631
effective homology class, 445, 452 Eilenberg-Maclane space, 271 Einstein-Kahler, 560 elliptic, 333
- complex, 84 - orbit, 328
energy, 7, 593, 595, 651, 656, 657, 674
equation de Lax, III equivariant
- cohomology, 152, 153, 155, 161, 468, 473, 475
- differential forms, 631 - moment map, 563 - Morse complex, 156 - Morse theory, 447, 453 - signature, 467
Euler characteristic, 576, 577, 579-581
exact - diffeomorphism, 556 - isotopy, 555, 556 - Lagrangian submanifold, 556 - symplectic diffeomorphisms,
556 - triangle, 195, 212, 244, 247
excision, 245 - property, 201
Index
- theorem, 206
fatgraphs, 652, 659 fiber product, 599, 600 fibered product, 591, 592 fiberwise cone, 470 first Chern class, 445 flag, 100, 101, 103, 305 flat connection, 12, 13, 79, 80, 85,
205,206, 212, 216, 220, 221, 225, 226, 228, 231, 234, 237, 357, 627
Floer - class, 207 - co-complex, 262 - cohomology, 314, 319, 484,
500, 559, 587-590, 592, 596, 598, 600, 603, 604
- cohomology groups, 503, 508, 514
- complex, 262, 620 - differential, 204 - exact triangle, 435, 437, 438,
441, 442 - functor, 239 - grading, 229 - group, 268 - homology, 99, 125, 132, 146,
163, 164, 195,216,218,240, 268, 297, 298, 301, 318, 435-437, 441, 447, 535, 593, 597, 599,601
- homology groups, 197, 200-202
- homotopy, 299 - homotopy type, 297, 317-319,
322 - pairing, 262 - theory, 638, 647, 654, 655
Floer-Morse function, 298, 299, 301 flot geodesique, 109-111, 117, 118 flow category, 299, 300, 302, 304-
308,314-316, 318 flux, 550 foliation, 582
framed knot, 242 framed surgery, 95
681
framing, 304, 312, 313, 316 Fredholm, 18,22,24,43,46,60,
361, 363, 385, 386, 388, 428, 592, 606 - index, 6, 487 - operator, 216, 300, 301
front, 458, 466 Fukaya
- complex, 274 - construction, 261 - -Floer complex, 262
G-connections, 107 G-equivariant cohomology, 153,
162 gauge, 370, 372, 374, 375, 379, 412
- equivalence classes, 627 - group, 10, 20, 24, 43, 44, 48,
53, 65, 78, 610, 639, 647, 667 - theory, 302, 305, 587, 638,
639,658 - transformation, 379
generalized Laurent series, 498 generating family, 284, 292, 293,
462, 466, 467 - of the legendrian submanifold,
285 generating function, 292, 293, 460,
463, 464 geodesic flows, 103 geodesics, 102, 659 geodesique, 109, 111, 114, 119-121 geometric triangle, 208, 222 ghost number, 641-645, 653, 654,
656,661,666-669,671 ghosts, 637, 640, 642-644, 672 Gluck's surgery, 336 gluing, 198,261,267,416,612
- map, 131 - theorems, 172 - trajectories, 166
grading, 318 - function, 196
682
- of Floer homology, 301, 302 greek generating function, 289, 291 Gromov width, 526 Grothendieck splitting, 560
h-principle, 575, 582, 584 Hamiltonian
- diffeomorphism, 445, 453 - field, 576 - flow, 579 - isotopy, 455, 464, 555, 556 - symplectomorphisms, 550 - vector field, 105
Hamiltonians of knots, 89 handle, 435, 439, 440, 442 handle slide, 249 Hausdorff distance, 186 Hausdorff metric, 188 Hegaard splitting, 90 Hermitian symmetric space, 559 Higgs field, 4, 5, 8, 12, 15,23,31,
33, 46, 65, 71 Hilbert's zeroes theorem, 454 Hofer-Zehnder capacity, 527 holomorphic
- bisectional curvature, 560 - filling, 337 - foliation, 548
holonomic, 284 holonomy, 79, 547, 550-553 homogeneity, 455 homogeneous
- diffeomorphisms, 455 - functions, 455 - hamiltonian isotopy, 460 - vector fields, 455
homological 3-sphere, 99 homology 3-sphere, 77, 124, 195,
435, 437, 439, 440, 589, 598, 627
homology sphere, 86, 243, 257, 438, 587, 588
Hopf link, 254 hypersurface of co-Lipschitz type,
532
Index
hypersurface of contact type, 531
index bundle, 592, 596 index theory, 331 inner-regular, 189-191 instanton, I, 107, 197,216,217,
231,308,637,654,655,657-659,669, 670 - connection, 203 - equation, 214, 215 - Floer cohomology, 622 - homology, 77 -homology groups, 82, 195 - homology of a knot, 85 - -invariants, 77 - moduli space, 204, 263, 276
intersection form, 437-439 irreducible connections, 80 irreducible flat connections, 203,
357 isotopic forms, 546 isotopy, 286 isotopy compactly supported, 286,
290 iteration formula, 331
J-convex, 337, 338 J-flat,337 J -holomorphic, 549
- curves, 516 - disc ll, 338 - sphere, 486-488, 492, 495,
497,514,516,520 J -pseudoconvex boundary, 539 join, 469
K -theory, 302, 314, 322, 592, 596 K3 surface, 435, 438, 439, 442, 515 KAM theory, 327, 329 Kahler, 445
- form, 548 - manifold, 305, 560, 562
Kahler-Einstein manifolds, 562 Killing vector field, 561, 562 Kirby calculus, 195, 246, 248 knot complement, 85, 86
Index
Koszul complex, 468, 475 Kiinneth spectral sequence, 469
Lagrange - fibration, 100 - submanifold, 99
Lagrangian - foliation, 339 - submanifold, 105, 106, 555,
556, 575, 576 - subspace, 465, 576 - torus, 190 - embedding, 335
least action principle, 455 Legendre
- submanifold, 99 - transform, 330
Legendrian, 285 - submanifolds, 284
Leray spectral sequences, 473 Lie
- algebra, 100, 102 - field, 285 - group, 3,47, 61, 99, 103, 605
local intersection index, 339
magnetic charge, 4 manifold with comers, 594 Maslov index, 537 mass, 4, 12, 32, 44, 46
- of the singularity, 519 Massey product, 271 Milnor fiber, 99, 102,439 Milnor fibrations, 103 minimal Chern number, 484 minimal toric manifold, 452 mirror symmetry, 638, 647 moduli space, 1,3,5-8, 13,27,44,
196, 197,216,227,229,231, 233, 259, 308, 357, 437, 438, 441, 640, 642, 652, 659-661, 665, 666, 670, 675 - of gradient lines, 126 - of instantons, 257
momentum map, 480
683
monodromy, 79, 100-103, 553 monopole, 1, 3, 5, 8, 37, 356, 360,
361, 372 - moduli space, 356 - moment, 7
monotone, 483, 485 - Lagrangian submanifold, 558 - symplectic manifold, 304, 446
Morse - complex, 124, 134, 136, 137,
139, 146, 158, 269, 609 - inequalities, 124, 127, 537 - theory, 125, 297, 298, 308,588
Morse-Bott - complex, 124, 139, 146, 150,
151, 159 - function, 124, 146, 147, 150-
152, 155, 159, 273 - theory, 137, 155
Morse-Novikov theory of multivalued functionals, 447
Morse-Smale - flow, 79, 505 - gradient flows, 81 - vector field, 609
natural connection, 547 Newton lattices, 454 non-Lagrangian submanifold, 576 normal submanifold, 576, 578 normalized embedding, 347 Novikov homology, 486, 507
open string, 638, 652, 653, 658, 659,661,666, 670-672, 674-676
orbites coadjointes, 109, 110, 118 outer-regular, 189, 191
'if-compatible, 545, 546, 549, 550 Palais-Smale condition, 609 parallel transport, 80 partial differential relation, 575 phase function, 284
- quadratic, 290 Poincare
- dual, 442, 591
684
- metric, 548 - sphere, 77
Poisson - manifolds, 634 - structure, 102 - variety, 455
polarization, 298, 300, 301, 305, 319, 320
polarized manifold, 299, 300, 301, 304,319
polydisc, 336 polynomial invariant, 280 polynomial symplectomorphism, 99 Pontrjagin class, 79 positively semitransversal, 340 pro-spectrum, 299, 300, 313, 314,
317,318,320-323 probleme de Neumann, 109, III product connection, 83 projectively flat connection, 198,
201 pseudo-holomorphic, 298 pseudo-holomorphic curves, 105-
107,556 pseudo-isotopic forms, 546 pseudo-isotopy, 549 pseudo gradient vector field, 609
quadratic, 284 quadrique, 109, 111, 112, 114,
117,119-121 quantization, 593 quasi-functions, 284 quasi-periodic, 329 quasi-periodic behaviour, 327
rational surface, 545 ray space, 469-471 real form, 561 reduced equivariant cohomology,
471 reduced moduli space, 259 reduced semi-infinite cohomology,
477 reducible flat connection, 221
Index
regular chains, 187 regular energy surface, 530, 531 relative
- Donaldson invariant, 107, 438, 441, 587, 590, 601, 602
- Floer groups, 538 - second Chern class, 196 - Tk -equivariant cohomology,
470 representation space, 627 restricted contact type, 189 restricted gauge group, 236 Ricci curvature, 560 Riemann-Roch theorem, 487 rigidity theorem, 185 ruled surfaces, 545, 554
50(3),435,438,441,442,605 - connections, 436
SU(2), 152, 163,302,589 SU2 , 3, 43, 47,58,65,66 Sard-Smale theorem, 491 secondary Pontrjagin class, 79 Segal conjecture, 299, 321 self-dual, 6, 15, 17, 22, 32, 33, 35,
43,650 - configuration, 360, 417 - connections, 357 - equation, 377 - monopole, 7, 44
self-duality, 645 self-indexing: strictly, 138 self-indexing: weakly, 138 self-intersection, 589, 605 semi-infinite cohomology, 476 semi-infinite dimensional cycles,
298 semi-infinite equivariant cohomol-
ogy, 476 Serre spectral sequence, 271, 475 sheaf,474 short foliation, 340 Siegel upper half plane, 548 signature, 99 simple J -holomorphic map, 489
Index
simple J -holomorphic sphere, 487, 488
simple map, 487 simplicial decomposition, 595 singular, 519 space of self-dual connections, 81 space-time, 637, 638, 649, 652,
653, 669, 670, 672, 674 - curvature, 648
spectral sequence, 205, 468, 598 stable category, 313, 316, 317, 319-
322 string field, 654 string theory, 637, 638, 642-644,
647, 653, 654, 656, 657, 659, 661-663, 665, 669, 671, 672, 676
surgery - cobordism, 87, 244 - on K, 199 - triangle, 87, 88
symplectic - capacity, 185, 188,525 - cylinder, 525 - diffeomorphism, 105, 106, 540,
541 - Floer homology, 619 - homology, 535,540 - neighbourhood theorem, 553 - reduction, 627 - ruled surface, 547 - shape, 336, 351
symplectic ally regular, 189, 190 symplectic ally unknotted, 335 systemes integrables, 109, III
tamed,337 temporal gauge, 81 topological
- category, 303, 305, 309 - field theory, 588, 637, 639,
654,657 - gravity, 640--642, 657, 665 - sigma model, 637, 638, 640,
641, 643, 644, 654, 660, 665
685
tores de Liouville, 109, 118, 120, 121
toric - manifold, 445, 448, 450, 455,
462, 479 - symplectic manifold, 449, 451 - variety, 450, 451
torus bundles, 240 torus-equivariant cohomology, 468 totally real submanifold, 577 transversal vector field, 576
universal G bundle, 605 unknotted, 335 unknottedness of Lagrangian sur
faces, 335
vacuum configuration, 11-13, 18 vertex operator, 642, 644, 656, 662,
663 vertex operators, 642, 644, 662
Wahl-Neumann theorem, 99 wavefront, 287, 288 weakly monotone, 484, 485, 489 weight homomorphism, 497 Weinstein Conjecture, 531 Weizenbock formulas, 18, 35 Weyl group, 100 world-sheet, 637, 638, 641, 644,
648, 649, 652, 654, 656, 659, 669, 674, 675
Yang-Mills functional, 123 Yang-Mills theory, 638 Yang-Mills-Higgs
- action, 5,46 - theory, 3, 4, 43, 44, 53 - configurations, 359 - equations, 359, 360 - functional, 355, 357, 360, 409
,Zj8-grading, 435, 587 'zj8'z-graded, 598 ,Zj8'z-grading, 302
Progress in Mathematics
Edited by:
H. Bass J. Oesterle Dept. de Mathematiques Universite de Paris VI 4, Place Jussieu
A. Weinstein Columbia University New York CalifomiaNY 10027 U.S.A. 75230 Paris Cedex 05, France
Dept. of Mathematics University of Berkeley, CA 94720 U.S.A.
Progress in Mathematics is a series of books intended for professional mathematicians and scientists, encompassing all areas of pure mathematics. This distinguished series, which began in 1979, includes authored monographs, and edited collections of papers on important research developments as well as expositions of particular subject areas.
We encourage preparation of manuscripts in such form of TeX for delivery in camera-ready copy which leads to rapid publication, or in electronic form for interfacing with laser printers or typesetters.
Proposals should be sent directly to the editors or to: Birkbliuser Boston, 675 Massachusetts Avenue, Cambridge, MA 02139, U.S.A.
GROSS. Quadratic Forms in Infinite- 21 KATOK. Ergodic Theory and Dimensional Vector Spaces Dynamical Systems II
2 PHAM. Singularites des Systemes 22 BERTIN. Seminaire de Theorie de Differentiels de Gauss-Manin Nombres, Paris 80-81
4 AUPETIT. Complex Approximation 23 WElL. Adeles and Algebraic Groups 5 HELGASON. The Radon Transform 24 LE BARZ. Enumerative Geometry 6 LIONIVERGNE. The Weil representa- and Classical Algebraic Geometry
tion Maslov index and Theta series 25 GRIFFITHS. Exterior Differential 7 HIRSCHOWITZ. Vector bundles and Systems and the Calculus of
differential equations Variations 10 KATOK. Ergodic Theory and 27 BROCKETT. Differential Geometric
Dynamical Systems I Control Theory II BALSLEY. 18th Scandinavian 28 MUMFORD. Tata Lectures on Theta I
Congress of Mathematicians 29 FRIEDMANN. The Birational 12 BERTIN. Seminaire de Theorie de Geometry of Degenerations
Nombres, Paris 79-80 30 Y ANO/KoN. Submanifolds of 13 HELGASON. Topics in Harmonic Kaehlerian and Sasakian Manifolds
Analysis on Homogeneous Spaces 31 BERTRAND. Approximations Dio-14 HANO. Manifolds and Lie Groups phantiennes et Nombres Transcendant 15 VOGAN JR. Representations of Real 32 BROOKS. Differential Geometry
Reductive Lie Groups 33 ZUILY. Uniqueness and Non-16 GRIFFITHS/MoRGAN. Rational Homo- Uniqueness in the Cauchy Problem
topy Theory and Differential Forms 34 KASHIW ARA. Systems of 17 VOVSI. Triangular Products of Group Microdifferential Equations
Representations and Their Applications 35/36 ARTINITATE. Vol. 1 Arithmetic. 18 FRESNEL/VAN DER PUT. Geometrie Vol. 2 Geometry
Analytique Rigide et Applications 37 BOUTET. Mathematique et Physique 19 ODA. Periods of Hilbert Modular 38 BERTIN. Seminaire de Theorie de
Surfaces Nombres, Paris 81-82 20 STEVENS. Arithmetic on Modular 39 UENO. Classification of Algebraic
Curves and Analytic Manifolds
40 TROMBI. Representation Theory of 68 ROBERT. Autour de I'Approximation Reductive Groups Semi -Classique
41 STANLEY. Combinatorics and 69 FARAUT/HARZALLAH. Analyse Commutative Algebra Harmonique: Fonctions Speciales et
42 JOUANOLOU. Theoremes de Bertini Distributions Invariantes et Applications 70 YAGER. Analytic Number Theory
43 MUMFORD. Tata Lectures on Theta II and Diophantine Problems 45 BISMUT. Large Deviations and the 71 GOLDSTEIN. Seminaire de Theorie de
Malliavin Calculus Nombres, Paris 85-86 47 TATE. Les Conjectures de Stark sur 72 V AISMAN. Symplectic Geometry and
les Fonctions L d'Artin en s=O Secondary Characteristic Classes 48 FROHLICH. Class groups and 73 MOLINO. Riemannian Foliations
Hermitian Modules 74 HENKINILEITERER. Andreotti-Grauert 49 SCHLICHTKRULL. Hyperfunctions and Theory by Integral Formulas
Harmonic Analysis on Symetric Spaces 75 GOLDSTEIN. Seminaire de Theorie de 50 BOREL ET AL. Intersection Cohomology Nombres, Paris 86-87 51 Seminaire de Theorie de Nombres, 76 CosSEdDoLGACHEv. Enriques
Paris 82-83 Surfaces I 52 GAsQuIIGOLDSCHMIDT. Deformations 77 REYSSAT. Quelques Aspects des
Infinitesimales desStructures Surfaces de Riemann Conformes Plates 78 BORHO/BRYLINSKJ/MCPHERSON.
53 LAURENT. Theorie de la 2ieme Micro- Nilpotent Orbits, Primitive Ideals, localisation dans Ie Domaine Complexe and Characteristic Classes
54 VERDIER. Module des Fibres Stables 79 MCKENZIEIV ALERIOTE. The sur les Courbes Algebriques Structure of Decidable Locally
55 EICHLERlZAGJER. The Theory of Finite Varieties Jacobi Forms 80 KRAFfI SCHWARzlPETRIE (eds.)
56 SHIFFMAN/SOMMESE. Vanishing Topological Methods in Algebraic Theorems on Complex Manifolds Transformation Groups
57 RIESEL. Prime Numbers and 81 GOLDSTEIN. Seminaire de Theorie Computer Methods for Factorization des Nombres, Paris 87-88
58 HELFFERINOURRIGAT. Hypoellipticite 82 DUFLO/PEDERSENNERGNE (eds.) The Maximale pour des Opera-teurs Orbit Method in Representation Polynomes de Champs de Vecteurs Theory
59 GOLDSTEIN. Seminaire de Theorie de 83 GHys/DE LA HARPE (eds.) Sur les Nombres, Paris 83-84 Groupes Hyperboliques d'apres M.
60 ARBARELLO. Geometry Today Gromov 62 GUILLOU. A la Recherche de la 84 ARAKI/KADISON (eds.) Mappings of
Topologie Perdue Operator Algebras 63 GOLDSTEIN. Seminaire de Theorie 85 BERNDT/DIAMOND/HALBERSTAMI
des Nombres, Paris 84-85 HILDEBRAND (eds.) Analytic Number 64 MYUNG. Malcev-Admissible Theory
Algebras 89 V AN DER GEERIOORTISTEENBRINK
65 GRUBB. Functional Calculus of Pseudo- (eds.) Arithmetic Algebraic Differential Boundary Problems Geometry
66 CASSOU-NOGUEsIT AYLOR. Elliptic 90 SRINIVAS. Algebraic K-Theory Functions and Rings of Integers 91 GOLDSTEIN. Seminaire de Theorie
67 HOWE. Discrete Groups in Geometry des Nombres, Paris 1988-89 and Analysis
92 CONNEs/DuFLo/J OSEPH/RENTSCHLER. 114 BERENSTEIN/GA y/V IDRAS/Y GER. Operator Algebras, Unitary Repre- Residue Currents and Bezout Identities sentations, Enveloping Algebras, and 115 BABELON/CARTIERlKoSMANN-Invariant Theory. A Collection of Articles in SCHWARZBACH (eds.) Integrable Honor of the 65th Birthday of Jacques Dixmier Systems. The Verdier Memorial
93 AUDIN. The Topology of Torus Conference Actions on Symplectic Manifolds 116 DAVID (ed.) Serninaire de Theorie des
94 MORAlTRAvERso (eds.) Effective Nombres, Paris, 1991-1992 Methods in Algebraic Geometry 117 AUDINILAFONTAINE (eds.) Holomorphic
95 MICHLERIRINGEL (eds.) Represen- Curves in Symplectic Geometry tation Theory of Finite Groups and 118 VAISMAN. Lectures on the Geometry of Finite-Dimensional Algebras Poisson Manifolds
96 MALGRANGE. Equations Differen- 119 JOSEPH/MIGNOT/MURAT/PRUMI tielles 11 Coefficients Polynorniaux RENTSCHLER (eds.) First European
97 MUMFoRD/NORMAN/NoRI. Tata Congress of Mathematics (Paris, Lectures on Theta III July 6-10, 1992). Volume I: Invited
98 GODBILLON. Feuilletages, Etudes Lectures (Part 1) geometriques 120 JOSEPH/MIGNOT/MURATIPRUMI
99 DONA TO/Duv AliELHADADI TuYNMAN. RENTSCHLER (eds.) First European Symplectic Geometry and Mathema- Congress of Mathematics (Paris, tical Physics. A Collection of July 6-10,1992). Volume II: Invited Articles in Honor of J.-M. Souriau Lectures (Part 2)
100 TAYLOR. Pseudodifferential Oper- 121 JOSEPH/MIGNOT/MURAT/PRUMI ators and Nonlinear PDE RENTSCHLER (eds.) First European
101 BARKER/SALLY. Harmonic Analysis Congress of Mathematics (Paris, on Reductive Groups July 6-10,1992). Volume III: Round
102 DAVID. Serninaire de Theorie Tables des Nombres, Paris 1989-90 122 GUILLEMIN. Moment Maps and
103 ANGER/PORTENIER. Radon Integrals Combinatorial Invariants of 104 ADAMS/BARBASCH/VOGAN. The Hamiltonian 1"-spaces
Langlands Classification and Irredu- 123 BRYLINSKI!BRYLINSKlIGUILLEMIN/KAC cibJe Characters for Real Reductive (eds.) Lie Theory and Geometry: In Groups Honor of Bertram Kostant
105 TiRAO/W ALLACH. New Developments 124 AEBISCHERI80RERIKALINI in Lie Theory and Their Applications LEUENBERGERIREIMANN. Symplectic
106 BUSER. Geometry and Spectra of Geometry. An Introduction based on Compact Riemann Surfaces the Seminar in Bern, 1992
107 BRYLINSKI. Loop Spaces,Characteristic 125 LUBOTZKY. Discrete Groups, Classes and Geometric Quantization Expanding Graphs and Invariant
108 DAVID. Serninaire de Theorie Measures des Nombres, Paris 1990-91 126 RIESEL. Prime Numbers and Computer
109 EYSSETTEIGALLIGO. Computational Methods for Factorization Algebraic Geometry 127 HORMANDER. Notions of Convexity
110 LUSZTIG. Introduction to Quantum 128 SCHMIDT. Dynamical Systems of Groups Algebraic Origin
III SCHWARZ. Morse Homology 129 DUKGRAAF/FABER/vAN DER GEER. The 112 DONGlLEPOWSKY. Generalized Moduli Space of Curves
Vertex-Algebras and Relative 130 DUISTERMAAT, Fourier Integral Operators Vertex Operators
113 MOEGLIN/W ALDSPURGER. Decompo-sition Spectrale et Series d'Eisenstein
Geometries in Interaction Special issue in honor of Mikhael Gromov Reprint aus GAFA, Vol. 5 (1995), No.2
Y. Eliashberg f R. Schoen, School of Stanford, CA, USAf V. Milman f L. Polterovich, School of Mathematical Sciences, Tel Aviv University, Israel (Eds)
1995. 444 pages. Hardcover ISBN 3-7643-5260-4
In the last decades of the xx century tremendous progress has been achieved in geometry. The discovery of deep interrelations between geometry and other fields, including algebra, analysis and topology, has pushed it into the mainstream of modern mathematics. This Special Issue, Geometries in Interaction, in honour of Mikhail Gromov contains 14 papers (originally published in Geometric And Functional Analysis vol. 5.2) which give a wide panorama of recent fundamental developments in modern geometry and its related subjects.
The contributors to this volume are 1. Bourgain, 1. Cheeger, J. Cogdell, A. Connes, Y. Eliashberg, H. Hofer, F. Lalonde, W. Luo, G. Margulis, D. McDuff H. Moscovici, G. MoSlow, S. Novikov, G. Perelman, 1. Piatetski-Shapiro, G. Pisier, X. Rong, Z. Rudnick, D. Salamon, P. Sarnak, R. Schoen, M. Shubin, 1(. Wysocki, and E. Zehnder.
The book is a collection of important results and an enduring source of new ideas for researchers and students in a broad spectrum of directions related to all aspects of Geometry and its applications to Functional Analysis, PDE, Analytic Number Theory and Physics.
Please order through your book.e"er or write to: Birkhauser Verlag AG P.O. Box 133 C H-40 1 0 Basel/Switzerland FAX: ++41 /61/271 7666 e-mail : 100010.2310@compuserve.com
For orders originating in the USA or Canada: Birkhauser 333 Meadowlands Parkway Secaucus. NJ 07096-2491 / USA
MATH EMATICS Birkhiiuser i3 Birkhauser Verlag AG Basel· Boston' Berlin
BIRKHAUSER
BAT Birkhauser Advanced Texts Basler Lehrbucher
Symplectic Invariants and Hamiltonian Dynamics
H. Hofer / E. Zehnder, ETH, Mathematik, Zurich, Switzerland
1994. 342 pages. Hardcover ISBN 3-7643-5066-0
"Symplectic Topology has become a fascinating subject of research over the past fifteen years ... This book is written by two experienced researchers, will certainly fill in a gap in the theory of symplectic topology. The authors have taken part in the development of such a theory by themselves or by their collaboration with other outstanding people in the area ... All the chapters have a nice introduction with the historic developement of the subject and with a perfect description of the state of the art. "
Please order through your bookseller or write to: Birkhauser Verlag AG P.O. Box 133 CH-4010 Basel/Switzerland FAX: ++41 /61 1271 7666 e-mail: 100010.2310@compuserve.com
ZENTRALBLATT MATHEMATIK. 1995
For orders originating in the USA or Canada: Birkhauser 333 Meadowlands Parkway Secaucus, NJ 07096-2491 / USA
Birkhiiuser $ MATH EMATICS Birkhauser Verlag AG
Basel' Boston' Berlin
top related