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McCrory C., Shifrin T. — Geometry and Topology: Manifolds, Varieties, and Knots |
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Предметный указатель |
Algebraic set, real 1
Bass — Heller-Swan, formula 111
Bass — Heller-Swan, injection 41
Boundedly controlled space 30
Boundedness control structure 29
Boundedness control structure, tame 39
Braid, closed 252
Braid, derived 251 255
Branch point 265
Branch point, order 270
Building 55
Bundle, block 48
Bundle, Hopf 48 91
Bundle, principal, connection on 90
Bundle, punctured-torus 179
Chamber 58 166
Chem — Simons form 227
Chern — Weil 216 230
Cobordism group of resolution tower 10
Cohomology, Heitsch 169
Complex cell, convex 53 55 56
Complex regular 54 73
Connection on principal bundle 90 130 211
Connection, anti-self-dual 120
Connection, Ehresmann 168
Connection, flat 132
Connection, flat holonomy of 133
Conservation law 302 303
Covering, almost 267
Covering, branched 204 329
Covering, branched cyclic 48 326
Covering, branched simple 256
Covering, cyclic 43 272
Coxeter 67
Coxeter, derived 54 56
Curvature form 218
CW complex, boundedly controlled 13
Cyclic Surgery Theorem 150
Deficiency set 266
Deformation 92 154
Deformation of flat connections 134
Deformation, infinitesimal 129
Dehn filling 43
Dehn twist 181 201 334
DNA 297
DNA, double helix 303
expansion 17 31
Expansion, elementary 17 31
Fibration, Hopf 48 168
Fibration, Serre 161
Fibre space, Seifert 109 110
Field, guage 89 212
Field, lattice 214
Field, Yang — Mills 89
Filtration, Hodge 99
Filtration, weight 99
Foliation, deformation of 169
Foliation, Reeb component 170
Foliation, Riemannian 167 170
Foliation, totally geodesic 167 170
Form, intersection 93 116 203
Form, quadratic, of type (r,s) 116
G-signature 320
Geometrizatlon conjecture 109
Graph 326
Graph, chiral 326
Graph, connect sum 343
Group action 51 53 277 319
Group, Artin 104
Group, braid 103 202
Group, cohopfian 154 157
Group, Coxeter 53 64
Group, hopfian 154 157
Group, knot, classical 147
Group, mapping class 180
Group, prebraid 258
Group, surgery 48
Group, torus-knot 147
h-cobordism 320
Haken manifold 112 151
Handlebody 272
Handlebody, decomposition 277
Handlebody, equivariant 277
| Harmonic forms with coeff. in flat bundle 136
Harmonic forms, Hodge Theory of 90
Harmonic forms, self-dual 92
Hodge theory (see also Harmonic forms)
Hodge theory, mixed 99
Homotopy Extension Property, boundedly controlled 20
Hyperbolic manifold 53 109 110
I-arrangement 105
Incompressible 151
INDEX 89
Index, Atiyah — Singer 120
Intersection homology 233 242
Intersection homology, perversity 242
Invariants, splitting 51
Isotopy extension theorem 238
K-theory, 2-cobordism 49
K-theory, algebraic 109
K-theory, boundedly controlled 28 39
K-theory, equivariant 281
Kaehler manifold 129 137
Knot 43 297
Knot, amphichiral 151 205
Knot, chiral 299
Knot, exterior 148
Knot, fibred 179
Knot, signed crossover number of 300 308
Lens space 315 339
Lens-like space 149
Linearity, local 280
Link, fibred 251
Link, Hopf 106
Massey product 132
Matrix, Coxeter 64
Metric, Hodge 121
Metric, Kehler 120
Metric, Mico 6
Metric, Milnor number 251
Metric, Moduli space 115 120
Metric, Periodicity 49
Metric, Siebenmann 47
Polynomial, Alexander 153
Polynomial, Jones, generalized 252 259
Pontrjagin class 118
Property P 149
Pseudo-isotopy 111
Riemann — Hurwitz formula 266 271
Serre 161
Simple homotopy theory 28
Skeleton, intrinsic 234
Smith conjecture 149 205
Space, control 283
Space, locally conelike 233 235
Space, locally flat 238
Spectral sequence, Atiyah — Hirzebruch 162
Stratified set, weakly 233 239
Structure set 47
Structure, braided 252
Structure, open-book 251
Subgroup, n-principal congruence 44
Supersolvability 105
Surface, Dolgachev 95 117
Surface, elliptic 115
Symbol, Schl'afli 73
System, Coxeter 73
Tangle 331 338
Tangle, integral 332
Tessellation 79
Theta-curve 325 237
Tico 2 3
Tico, algebraic 3
Tower, algebraic 7
Tower, resolution 1 6
Translation, parallel 133 212
Varieties, complex 99
Varieties, Hodge numbers of 99
Whitehead group 109 321
Whitehead group, algebraic 36
Whitehead group, boundedly controlled 13 31
Whitehead group, geometric 16 282
Whitehead theorem 19
Whitehead torsion 32 279
Whitehead torsion, equivariant 285
Writhe 297 301
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