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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
448Pages
This book covers the following topics: Cohomology and Euler Characteristics Of Coxeter Groups, Completions Of Stratified Ends, The Braid Structure Of Mapping Class Groups, Controlled Topological Equivalence Of Maps in The Theory Of Stratified Spaces and Approximate Fibrations, The Asymptotic Method In The Novikov Conjecture, N Exponentially Nash G Manifolds and Vector Bundles, Controlled Algebra and Topology.
Author(s): Andrew Ranicki and Masayuki Yamasaki
162Pages
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
NAPages
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NAPages
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NAPages
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
NAPages
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
363Pages
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
NAPages
This book explains the following topics: Algebraic Constructions, Homotopy Theoretical, Localization, Completions in Homotopy Theory, Spherical Fibrations, Algebraic Geometry and the Galois Group in Geometric Topology.
Author(s): Dennis Sullivan
296Pages
