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Free Geometric Topology Books

Abstract Algebra
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Linear Algebra
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Commutative Algebra
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Complex Algebra
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Elliptic Curves
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Geometric Algebra
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Groups Theory
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Higher Algebra
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Homological Algebra
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Lie Algebra
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Differential Algebra
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Rings and Fileds
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Geometry
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Algebraic Geometry
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Differential Geometry
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Fractals
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Riemannian Geometry
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Mathematical Analysis
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Complex Analysis
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Functional Analysis
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Differential Analysis
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Fourier Analysis
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Harmonic Analysis
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Numerical Analysis
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Real Analysis
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Topology
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Algebraic Topology
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Differential Topology
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Geometric Topology
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K-theory
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Applied Mathematics
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Calculus
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Differential Equations
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Combinatorics
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Discrete Mathematics
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Graph Theory
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Number Theory
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Probability Theory
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Set Theory
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Trigonometry
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Category Theory
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Constants & Numerical Sequences
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Basic Mathematics
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Classical Analysis
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History of Mathematics
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Arithmetic Geometry
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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.

Geometric Topology Books
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Introduction to Geometric Topology

PDF | 448 Pages | English
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.

 
Surgery and Geometric Topology

PDF | 162 Pages | English
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.

 
Topics in Geometric Topology

Online | NA Pages | English
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.

 
History of Knot Theory
Knots Knotes Roberts J.D pdf
Algebraic and geometric Topology

Online | NA Pages | English
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.

 
Algebraic L theory and Topological Manifolds [PDF 363p]

PDF | 363 Pages | English
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.

 
The Geometry and Topology of Three Manifolds by William P. Thurston

Online | NA Pages | English
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.

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

PDF | 296 Pages | English
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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