Quantum Invariants of Knots and 3-manifolds

Front Cover
Walter de Gruyter, Jan 1, 1994 - Mathematics - 588 pages
1 Review
  

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

Introduction
1
Invariants of graphs in Euclidean 3space
17
Operator invariants of ribbon graphs
30
Reduction of Theorem 2 5 to lemmas
49
Notes
71
Proof of Theorem 2 3 2 Action of SL2 Z
84
Computations in semisimple categories
99
Notes
116
Surgeries on shadows
382
Integer shadows
388
Shadows of manifolds
394
Shadows of 3manifolds
400
Shadows of 4manifolds via handle decompositions
410
Thickening of shadows
417
Proof of Theorems 1 5 and 1 7 1 11
427
Notes
434

Isomorphisms of TQFTs
132
Elimination of anomalies
145
Proof of Theorem 1 9
162
Lagrangian relations and Maslov indices
179
Action of the modular groupoid
190
Computations in the renormalized TQFT
207
Unitary TQFT
223
Twodimensional modular functors
236
Weak and mirror modular functors
266
Notes
297
Unimodal categories
310
Geometric approach to 67symbols
331
Simplicial state sums on 3manifolds
345
Comparison of two approaches
361
Shadow links
376
State sum invariants of shadows
444
Invariants of 3manifolds from the shadow viewpoint
450
Proof of Theorem 5 6
463
Invariants of framed graphs from the shadow viewpoint
473
Computations for graph manifolds
484
An algebraic construction of modular categories
493
Ribbon Hopf algebras
500
Modular Hopf algebras
506
Quantum groups with generic parameter
513
A geometric construction of modular categories
518
The matrix S
535
Multiplicity modules
551
Gluing reexamined
565
Subject index
585
Copyright

Common terms and phrases

References to this book

All Book Search results »

Bibliographic information