Table of Contents:
  • Preface
  • Program of the Research Semester
  • Noncompact Hyperbolic 3-Orbifolds of Small Volume
  • Combinatorial Cubings, Cusps, and the Dodecahedral Knots
  • Hyperbolic Cobordism and Conformal Structures
  • Greatly Symmetric Totally Geodesic Surfaces and Closed Hyperbolic 3-Manifolds Which Share a Fundamental Polyhedron
  • Link Complements and Integer Rings of Class Number Greater than One
  • Some Relations Between Spectral Geometry and Number Theory
  • Normalizers and Centralizers of Elementary Abelian Subgroups of the Mapping Class Group
  • Invariants of 3-Manifolds from Conformal Field TheoryAn Undetected Slope in a Knot Manifold
  • Heegaard Splittings of the Three-Ball
  • On the Borromean Orbifolds: Geometry and Arithmetic
  • Arithmeticity of the Figure Eight Knot Orbifolds
  • Deduction of Andreevâ€?s Theorem from Rivinâ€?s Characterization of Convex Hyperbolic Polyhedra
  • Surgeries on the Whitehead Link Yield Geometrically Similar Manifolds
  • Fundamental Group of the Complement of Affine Plane Curves
  • Totally Geodesic Surfaces in Hyperbolic Link Complements
  • Examples of Quasi-Geodesic Flows on Hyperbolic 3-ManifoldsCombinatorics of Triangulations and the Chern-Simons Invariant for Hyperbolic 3-Manifolds
  • Arithmetic of Hyperbolic Manifolds
  • Notes on Adamsâ€? Small Volume Orbifolds
  • Skein Module of Links in a Handlebody
  • Totally Tangential Links of Intersection of Complex Plane Curves with Round Spheres
  • Some Pictorial Remarks on Suzukiâ€?s Brunnian Graph
  • Automatic Structure and Graphs of Groups
  • Quantum Representations of Modular Groups and Maslov Indices
  • The p-torsion of the Farrell-Tate Cohomology of the Mapping Class Group Î?(p-1)/2Tangles in Prisms, Tangles in Cobordisms
  • A Computational Algorithm of Spectral Flow in Floer Homology