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Quantum Representations of Modular Groups and Maslov Indices
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V. G. Turaev
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Chapters in this book
- i-iv i
- Preface v
- Program of the Research Semester vii
- Contents xi
- Noncompact Hyperbolic 3-Orbifolds of Small Volume 1
- Combinatorial Cubings, Cusps, and the Dodecahedral Knots 17
- Hyperbolic Cobordism and Conformal Structures 27
- Greatly Symmetric Totally Geodesic Surfaces and Closed Hyperbolic 3-Manifolds Which Share a Fundamental Polyhedron 37
- Link Complements and Integer Rings of Class Number Greater than One 55
- Some Relations Between Spectral Geometry and Number Theory 61
- Normalizers and Centralizers of Elementary Abelian Subgroups of the Mapping Class Group 77
- Invariants of 3-Manifolds from Conformal Field Theory 91
- An Undetected Slope in a Knot Manifold 111
- Heegaard Splittings of the Three-Ball 123
- On the Borromean Orbifolds: Geometry and Arithmetic 133
- The Arithmeticity of the Figure Eight Knot Orbifolds 169
- Deduction of Andreev's Theorem from Rivin's Characterization of Convex Hyperbolic Polyhedra 185
- Surgeries on the Whitehead Link Yield Geometrically Similar Manifolds 195
- Fundamental Group of the Complement of Affine Plane Curves 207
- Totally Geodesic Surfaces in Hyperbolic Link Complements 215
- Examples of Quasi-Geodesic Flows on Hyperbolic 3-Manifolds 227
- Combinatorics of Triangulations and the Chern-Simons Invariant for Hyperbolic 3-Manifolds 243
- Arithmetic of Hyperbolic Manifolds 273
- Notes on Adams' Small Volume Orbifolds 311
- Skein module of links in a handlebody 315
- Totally Tangential Links of Intersection of Complex Plane Curves with Round Spheres 343
- Some Pictorial Remarks on Suzuki's Brunnian Graph 351
- Automatic Structure and Graphs of Groups 355
- Quantum Representations of Modular Groups and Maslov Indices 381
- The p-torsion of the Farrell-Tate Cohomology of the Mapping Class Group Γ(p-1)/2 391
- Tangles in Prisms, Tangles in Cobordisms 399
- A Computational Algorithm of Spectral Flow in Floer Homology 445
- 459-460 459
Chapters in this book
- i-iv i
- Preface v
- Program of the Research Semester vii
- Contents xi
- Noncompact Hyperbolic 3-Orbifolds of Small Volume 1
- Combinatorial Cubings, Cusps, and the Dodecahedral Knots 17
- Hyperbolic Cobordism and Conformal Structures 27
- Greatly Symmetric Totally Geodesic Surfaces and Closed Hyperbolic 3-Manifolds Which Share a Fundamental Polyhedron 37
- Link Complements and Integer Rings of Class Number Greater than One 55
- Some Relations Between Spectral Geometry and Number Theory 61
- Normalizers and Centralizers of Elementary Abelian Subgroups of the Mapping Class Group 77
- Invariants of 3-Manifolds from Conformal Field Theory 91
- An Undetected Slope in a Knot Manifold 111
- Heegaard Splittings of the Three-Ball 123
- On the Borromean Orbifolds: Geometry and Arithmetic 133
- The Arithmeticity of the Figure Eight Knot Orbifolds 169
- Deduction of Andreev's Theorem from Rivin's Characterization of Convex Hyperbolic Polyhedra 185
- Surgeries on the Whitehead Link Yield Geometrically Similar Manifolds 195
- Fundamental Group of the Complement of Affine Plane Curves 207
- Totally Geodesic Surfaces in Hyperbolic Link Complements 215
- Examples of Quasi-Geodesic Flows on Hyperbolic 3-Manifolds 227
- Combinatorics of Triangulations and the Chern-Simons Invariant for Hyperbolic 3-Manifolds 243
- Arithmetic of Hyperbolic Manifolds 273
- Notes on Adams' Small Volume Orbifolds 311
- Skein module of links in a handlebody 315
- Totally Tangential Links of Intersection of Complex Plane Curves with Round Spheres 343
- Some Pictorial Remarks on Suzuki's Brunnian Graph 351
- Automatic Structure and Graphs of Groups 355
- Quantum Representations of Modular Groups and Maslov Indices 381
- The p-torsion of the Farrell-Tate Cohomology of the Mapping Class Group Γ(p-1)/2 391
- Tangles in Prisms, Tangles in Cobordisms 399
- A Computational Algorithm of Spectral Flow in Floer Homology 445
- 459-460 459