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Turaev V.G. — Quantum Invariants of Knots and 3-Manifolds
Turaev V.G. — Quantum Invariants of Knots and 3-Manifolds



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Название: Quantum Invariants of Knots and 3-Manifolds

Автор: Turaev V.G.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1994

Количество страниц: 588

Добавлена в каталог: 13.01.2007

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
2-DMF      239
2-DMF, mirror      267
2-DMF, rational      245
2-DMF, weak      266
2-polyhedron, locally flat      395
2-polyhedron, smooth      395
3-manifold, decorated      157
3-manifold, double of a      474
3-manifold, extended      197
3-manifold, genus of a      224
3-manifold, weighted      213
6j-symbol      302
6j-symbol, normalized      331
Admissible triple      551
Annulus      31
Annulus, core of an      31
Annulus, directed      31
Annulus, twisted      319
Anomaly cocycle      149
Antipode      493
ARC      153
Arc, marked      153
Band      31
Band, base of a      31
Band, core of a      31
Band, directed      31
Basic shadow move      369
Biedenharn — Elliott identity      306 334
Bistellar move      351
Bracket polynomial      521
Braid group      509
Braid index      114
Braiding      19
Bundle of states      205
Category      17
Category of framed graphs      456
Category of representations      494
Category of ribbon graphs      36
Category of ribbon tangles      38
Category, Ab-      72
Category, generators of a      49 58
Category, Hermitian      109—111
Category, mirror      21
Category, modular      74
Category, monoidal      18
Category, opposite      112
Category, pure      504
Category, quasimodular      505
Category, rank of a      76
Category, relations in a      49 58
Category, ribbon      21
Category, semisimple      99
Category, strict monoidal      18
Category, unimodal      311
Category, unimodular      311
Category, unitary      113
cell      402
Closed space      125
Cobordism      124
Cobordism of shadows      384
Cobordism theory      123
Cobordism theory, 2-cocycle of a      146
Cobordism theory, involutive      131
Cobordism, bottom base of a      124
Cobordism, decorated      159
Cobordism, extended      200
Cobordism, top base of a      124
Collar      136
COLOR      22 35
composition      17
Comultiplication      493
Conjugation      109
Connected sum      161
Contraction of tensors      307 333
Counit      493
Coupon      22 31
Coupon, bottom base of a      31
Coupon, top base of a      31
Covariant functor      38
Cylinder      123
Diagram      32—33 320 432 405 456 518
Diagram, enriched      406 433
Diagram, extremal point of a      49
Diagram, generic      49
Diagram, isotopy of a      65
Diagram, simple      519
Diagram, singular point of a      49
DIMENSION      21 28 103
Disk region      375
Domination      74
Double construction      499
Dual cell subdivision      402
Duality      20
Flip      19
Framed braid      113
Framed graph      319 455
Framed graph, 1-stratum of a      319
Framed graph, coloring of a      319 455
Framed graph, core of a      319
Framed graph, surface of a      319
Framed graph, v-coloring of a      320 455
Framed graph, vertex of a      319
Framing      35
Generic element      532
Gleam      368
Gluing anomaly      124 125
Gluing homomorphism      240
Gluing pattern      145
Graph      318
Graph manifold      485
Graph pair      431
Graph, 1-stratum of a      318
Graph, coloring of a      318
Graph, dual      360 474
Graph, edge of a      318
Graph, shadow projection of a      433
Graph, trivalent      318
Graph, v-colored      319
Handle      395
Handle decomposition      410
Handlebody, 4-dimensional      395
Handlebody, standard      158
Heegaard decomposition      224
Heegaard surface      404
Heighest weight      516
Height function      49
Homeomorphism, d-      153 157
Homeomorphism, d-, weak      192
Homeomorphism, e-      196—197
Homeomorphism, e-, weak      199
Homeomorphism, m-      236
Homeomorphism, m-, weak      266
Homomorphism of TQFT's      132
Hopf algebra      493
Hopf algebra, h-adic      513
Hopf algebra, modular      506
Hopf algebra, quasitriangular      497
Hopf algebra, ribbon      500
Hopf link      45
Integer shadow graph      393
Integer shadow link      390
Integer shadowed polyhedron      390
Isomorphism of TQFT's      132
Isotopy of ribbon graphs      32 81-82
Isotropic space      179
Jones polynomial      522
Jones — Wenzl idempotent      529
Kauffman skein formula      519
Kirby moves      85
l-twist      52
Lagrangian contraction      180
Lagrangian relation      181
Lagrangian space      179
Lens space      81
Link      34
Link, framed      34
Link, oriented      34
Linking number      414
Longitude-meridianal link      382
Loop, simple      246
Loop, simple, s-      246
Mapping torus      209
Maslov index      182
Matveev — Piergallini moves      401
Modular functor      121 155 198
Modular functor, self-dual      122
Modular functor, trivial      122
Module of finite rank      494
Module of states      121 239
Module, dual      26
Module, indecomposable      516
Module, negligible      506
Module, projective      25
Module, regular      515
Module, simple      506
Monoidal class      236
Morphism      17
Morphism, dual      30
Morphism, negligible      503
Multiplicity      105
Multiplicity module      302
Multiplicity module, symmetrized      314
Negation      371
Negligible morphism      503
Non-degenerate pairing      102
Normal orientation      345
Object of a category      17
Object of a category, fundamental      225
Object of a category, simple      73
Orientation convention      79
Orthonormality relation      334
Pre-twist      406
Primitive root of unity      532
Purification      504
Quantum group      509
Quantum group, h-adic      514
Quantum invariant      137
Quasidomination      505
r-twist      52
Racah identity      335
Reidemeister moves      60-61
Reshetikhin — Turaev invariant      80
Ribbon graph      31 81 157
Ribbon graph, colored      35 81 157
Ribbon graph, elementary      35
Ribbon graph, operator invariant of a      39
Ribbon graph, special      167 170
Ribbon graph, v-colored      35
Ribbon tangle      38
Ribboning      320
Rounding the corners      327
Schur's axiom      100
Self-dual index      310
Shadow      370
Shadow cone      410
Shadow cylinder      434
Shadow equivalence      370
Shadow graph      392
Shadow link      377
Shadow link, cone over a      378
Shadow link, cylinder over a      378
Shadow move      369 377 390 392
Shadow of a 4-manifold      398 411
Shadow projection      408 433
Shadow, augmented      375 412
Shadow, bilinear form of a      386
Shadow, integer      390
Shadow, internal      401
Shadow, negation of a      372
Shadow, signature of a      388
Shadow, stable      374
Shadowed polyhedron      368
Shadowed polyhedron, augmented      374
Shadowed polyhedron, coloring of a      437
Shadowed polyhedron, state sum on a      436
Shadowed system of loops      377
Signature      79 187 222 388 486 568
Simple 2-polyhedron      367
Simple 2-polyhedron, 1-stratum of a      368
Simple 2-polyhedron, orientable      368
Simple 2-polyhedron, region of a      368
Simple 2-polyhedron, special      403
Simple 2-polyhedron, vertex of a      368
Simple deformation      374
Skein class      519
Skein module      519
Skeleton      395 400 431
Sliding of regions      375
Solid torus      78
Space-structure      118
Space-structure, compatible with disjoint union      119
Space-structure, involutive      120
Spine      403
Spine, special      403
Splitting system      136
Stabilization of shadows      374
Strictly admissible triple      551
Summation of shadows      372
Surface, d-      153
Surface, d-, opposite      153
Surface, d-, parametrized      155
Surface, d-, standard      154 155
Surface, e-      196
Surface, e-, opposite      197
Surface, e-, parametrization of a      198
Surface, m-      236
Surgery      78 382
Suspension of shadows      373
Symplectic space      179
Symplectic space, annihilator of a      179
Tangle      38 518
Temperley — Lieb algebra      526
Tensor product      18
Tensor product of TQFT's      125
Tensor product, non-ordered      122
Thickening      417 434
TQFT      124
TQFT, absolute      212
TQFT, anomaly-free      125
TQFT, dual      131
TQFT, Hermitian      143 217
TQFT, non-degenerate      132
TQFT, simplicial      356—360
TQFT, unitary      143 223
Trace      21 28 228 528
Tripod      418
Turaev — Viro invariant      348
Twist      20
Twist, universal      500
Type, decorated      153
Type, decorated, opposite      153
Unit object      18
Universal R-matrix      497
Verlinde algebra      227
Verlinde — Moore — Seiberg formula      106
Wenzl limit      225
Weyl group      509
Writhe      523
Yang — Baxter equality      19 341
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