Geometric Topology by Dennis Sullivan

Geometric Topology Rutgers

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

Topics in Geometric Topology

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

History of Knot Theory

Currently this section contains no detailed description for the page, will update this page 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

Algebraic L theory and Topological Manifolds [PDF 363p]

The book is divided into two parts, called Algebra and Topology. In principle, it is possible to start with the Introduction, and go on to the topology in Part II, referring back to Part I for novel algebraic concepts.

Author(s): A. A. Ranicki

363 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