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Geometric Topology Books

This section contains free e-books and guides on Geometric Topology, some of the resources in this section can be viewed online and some of them can be downloaded.

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.

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s 448Pages

Surgery and Geometric Topology

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.

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s 162Pages

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.

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s NAPages

History of Knot Theory

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

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s NAPages

Knots Knotes Roberts J.D pdf

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

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s NAPages

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.

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s NAPages

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.

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s 363Pages

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.

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s NAPages

Geometric Topology Localization, Periodicity, and Galois Symmetry (PDF 296p)

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.

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s 296Pages