Quantum Invariants of Knots and 3-Manifolds / / Vladimir G. Turaev.
Due to the strong appeal and wide use of this monograph, it is now available in its second revised edition. The monograph gives a systematic treatment of 3-dimensional topological quantum field theories (TQFTs) based on the work of the author with N. Reshetikhin and O. Viro. This subject was inspire...
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| Superior document: | Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package |
|---|---|
| VerfasserIn: | |
| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2010] ©2010 |
| Year of Publication: | 2010 |
| Edition: | 2nd rev. ed. |
| Language: | English |
| Series: | De Gruyter Studies in Mathematics ,
18 |
| Online Access: | |
| Physical Description: | 1 online resource (592 p.) :; Num. figs. |
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Table of Contents:
- Frontmatter
- 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
- Backmatter