This PDF book covers the
following topics related to Geometric Topology, Klees Trick, Manifold factors, Stable homeomorphisms and the annulus
conjecture, Cellular homology, Some elementary homotopy theory, Walls
finiteness obstruction, A weak Poincare Conjecture in high dimensions,
Stallings characterization of euclidean space, Whitehead torsion,
Siebenmanns Thesis, Torus trickery 101 local contractibility, Torus
trickery 102 the Annulus Conjecture, Homotopy structures on manifolds,
etc.
This book contains below topics, Geometric preliminaries, Gromov Thurston examples, A convexity theorem, Products of matrices, Construction of convex projective structures on Gromov Thurston manifolds, Dual complex to the conical stratification of an affine manifold.
Author(s): Michael Kapovich, University of California Davis
This note covers the following topics, Walls finiteness obstruction, The
whitehead torsion, The s cobordism theorem, Siebenmanns end theorem,
Fibering over a circle.
This PDF book covers the following topics related to
Geometric Topology, Algebraic Constructions, Homotopy Theoretical
Localization, Completions in Homotopy Theory, Spherical Fibrations,
Algebraic Geometry, The Galois Group in Geometric Topology.
Author(s): Dennis Sullivan, Massachusetts
Institute of Technology
The aim of this book is to
introduce hyperbolic geometry and its applications to twoand threemanifolds
topology. Topics covered includes, Hyperbolic geometry, Hyperbolic space,
Hyperbolic manifolds, Thickthin decomposition, The sphere at infinity,
Surfaces, Teichmuller space, Topology of threemanifolds, Seifert manifolds,
Constructions of threemanifolds, Threemanifolds, Mostow rigidity theorem,
Hyperbolic Dehn filling.