Quantum Invariants of Knots and 3-Manifolds
TURAEV , Vladimir G.
Quantum Invariants of Knots and 3-Manifolds [online] / Vladimir G. Turaev - Berlin : De Gruyter, 2016 - 1 resursă online (596 p.) - De Gruyter Studies in Mathematics, 18 .
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
9783110435221
DE-Matematică
Quantum Invariants of Knots and 3-Manifolds [online] / Vladimir G. Turaev - Berlin : De Gruyter, 2016 - 1 resursă online (596 p.) - De Gruyter Studies in Mathematics, 18 .
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
9783110435221
DE-Matematică