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The Geometry and Topology of Three Manifolds by William P. Thurston
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.
Author(s): William P. Thurston
NA Pages 
Geometric Topology Notes by Dexter Chua
This note covers the following topics: Walls finiteness obstruction, The whitehead torsion, The s cobordism theorem, Siebenmanns end theorem, Fibering over a circle.
Author(s): Dexter Chua
38 Pages
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.
Author(s): Rutgers University
193 Pages
Geometric Topology by Dennis Sullivan
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
250 Pages
Introduction to Geometric Topology
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.
Author(s): Bruno Martelli
448 Pages
This note covers some topics related to the classification of manifolds. The emphasis will be on manifolds of low dimension and cases where it is possible to obtain very precise information.
Author(s): Jacob Lurie
NA Pages
We are working on the detailed description of this book, we will update this section soon.
Author(s): NA
NA Pages
Algebraic and geometric Topology
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.
Author(s): University of Edinburgh
NA Pages
The Geometry and Topology of Three Manifolds by William P. Thurston
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.
Author(s): William P. Thurston
NA Pages