This PDF book covers the
following topics related to Geometric Topology : Klee’s Trick, Manifold factors, Stable homeomorphisms and the annulus
conjecture, Cellular homology, Some elementary homotopy theory, Wall’s
finiteness obstruction, A weak Poincar´e Conjecture in high dimensions,
Stallings’ characterization of euclidean space, Whitehead torsion,
Siebenmann’s Thesis, Torus trickery 101 - local contractibility, Torus
trickery 102 – the Annulus Conjecture, Homotopy structures on manifolds,
etc.
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 : Klee’s Trick, Manifold factors, Stable homeomorphisms and the annulus
conjecture, Cellular homology, Some elementary homotopy theory, Wall’s
finiteness obstruction, A weak Poincar´e Conjecture in high dimensions,
Stallings’ characterization of euclidean space, Whitehead torsion,
Siebenmann’s Thesis, Torus trickery 101 - local contractibility, Torus
trickery 102 – the Annulus Conjecture, Homotopy structures on manifolds,
etc.
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 two- and three-manifolds
topology. Topics covered includes: Hyperbolic geometry, Hyperbolic space,
Hyperbolic manifolds, Thick-thin decomposition, The sphere at infinity,
Surfaces, Teichmuller space, Topology of three-manifolds, Seifert manifolds,
Constructions of three-manifolds, Three-manifolds, Mostow rigidity theorem,
Hyperbolic Dehn filling.
This note covers the following topics: Semifree finite group
actions on compact manifolds, Torsion in L-groups, Higher diagonal
approximations and skeletons of K(\pi,1)'s, Evaluating the Swan finiteness
obstruction for finite groups, A nonconnective delooping of algebraic
K-theory, The algebraic theory of torsion, Equivariant Moore spaces,
Triviality of the involution on SK_1 for periodic groups, Algebraic K-theory
of spaces Friedhelm Waldhausen, Oliver's formula and Minkowski's
theorem.
The intent of this lecture note is to describe the very strong
connection between geometry and lowdimensional topology in a way which will
be useful and accessible to graduate students and mathematicians working in
related fields, particularly 3-manifolds and Kleinian groups.