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Licensed Unlicensed Requires Authentication Published by De Gruyter 2016

Chapter III. Foundations of topological quantum field theory

From the book Quantum Invariants of Knots and 3-Manifolds

  • Vladimir G. Turaev
https://doi.org/10.1515/9783110435221-005
© 2016 Walter de Gruyter GmbH, Berlin/Munich/Boston
From the book
Quantum Invariants of Knots and 3-Manifolds
Quantum Invariants of Knots and 3-Manifolds

Chapters in this book (22)

Frontmatter
Preface
Contents
Introduction
Part I. Towards Topological Field Theory
Chapter I. Invariants of graphs in Euclidean 3-space
Chapter II. Invariants of closed 3-manifolds
Chapter III. Foundations of topological quantum field theory
Chapter IV. Three-dimensional topological quantum field theory
Chapter V. Two-dimensional modular functors
Part II. The Shadow World
Chapter VI. 6j-symbols
Chapter VII. Simplicial state sums on 3-manifolds
Chapter VIII. Generalities on shadows
Chapter IX. Shadows of manifolds
Chapter X. State sums on shadows
Part III. Towards Modular Categories
Chapter XI. An algebraic construction of modular categories
Chapter XII. A geometric construction of modular categories
Appendix I. Dimension and trace re-examined
Appendix II. Vertex models on link diagrams
Appendix III. Gluing re-examined
Appendix IV. The signature of closed 4-manifolds from a state sum
References
Subject index
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