Invariants of Links and 3-Manifolds from Graph Configurations

  • Christine Lescop

    CNRS and Université Grenoble Alpes, France
 Invariants of Links and 3-Manifolds from Graph Configurations cover

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Front matterDownload pp. i–iv
PrefaceDownload pp. vii–x
ContentsDownload pp. xi–xv
1Introductionspp. 1–39
2More on manifolds and on the linking numberpp. 41–52
3Propagatorspp. 53–63
4The Theta invariantpp. 65–73
5Parallelizations of 3-manifolds and Pontrjagin classespp. 75–100
6Introduction to finite type invariants and Jacobi diagramspp. 101–129
7First definitions of pp. 131–152
8Compactifications of configuration spacespp. 153–184
9Dependence on the propagating formspp. 185–203
10First properties of and anomaliespp. 205–224
11Rationalitypp. 225–244
12A first introduction to the functor pp. 245–265
13More on the functor pp. 267–284
14Invariance of for long tanglespp. 285–322
15The invariant as a holonomy for braidspp. 323–351
16Discretizable variants of and extensions to q-tanglespp. 353–388
17Justifying the properties of pp. 389–426
18The main universality statements and their corollariespp. 427–470
19More flexible definitions of using pseudo-parallelizationspp. 471–499
20Simultaneous normalization of propagating formspp. 501–518
21Much more flexible definitions of pp. 519–532
ASome basic algebraic topologypp. 533–545
BDifferential forms and de Rham cohomologypp. 547–553
Terminologypp. 555–557
Index of notationpp. 559–561
Summarizing the main definitions of pp. 563–564
Referencespp. 565–571