Quantum Invariants of Knots and 3-Manifolds [online] / Vladimir G. Turaev

By:

TURAEV , Vladimir G

Material type: Text

TextLanguage: English Series: De Gruyter Studies in Mathematics ; 18Publication details: Berlin : De Gruyter, 2016Description: 1 resursă online (596 p.)ISBN:

9783110435221

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Contents:

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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E-Books List(s) this item appears in: Titluri cărți electronice achiziționate prin Anelis Plus (De Gruyter) | Titluri carți matematică (DC nave) intrate în 2016-2021 | Titluri cărți matematică intrate în 2010-2021 | Titluri cărți matematică intrate în 2016-2022 | Titluri cărți matematică în limba engleză publicate în 2013-2023 | Titluri cărți matematică în limba engleză

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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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