Handbook of Geometric Topology

Geometric Topology is a foundational component of modern mathematics, involving the study of spacial properties and invariants of familiar objects such as manifolds and complexes. This volume consists of 21 expository surveys written by leading experts and covering active areas of research.

Inhalt

Topics in transformation groups (A. Adem and J.F .Davis).Piecewise linear topology (J.L. Bryant).Infinite dimensional topology and shape theory (A. Chigogidze).Nonpositive curvature and reflection groups (M.W. Davis).Nielsen fixed point theory (R. Geoghegan).Mapping class groups (N.V. Ivanov).Seifert manifolds (Kyung Bai Lee and F. Raymond).Quantum invariants of 3-manifolds and CW-complexes (W. Lueck).Hyperbolic manifolds (J.G .Ratcliffe).Flows with knotted closed orbits (J. Franks and M.C. Sullivan).Heegaard splittings of compact 3-manifolds (M. Scharlemann).Representations of 3-manifold groups (P.B. Schalen).Homology manifolds (S. Weinberger).R-trees in topology, geometry, and group theory (F. Bonathon).Dehn surgery on knots (S. Boyer).Geometric group theory (J. Cannon).Cohomological dimension theory (J. Dydak).Metric spaces of curvature greater than or equal to k (C. Plaut).Topological rigidity theorems (C.W. Stark).