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 TopologyBruno MartelliPDF
| 448 Pages
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 TopologyAndrew Ranicki and Masayuki YamasakiPDF
| 162 Pages
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 TopologyJacob LurieOnline
| NA 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.
|History of Knot Theory|
|Knots Knotes Roberts J.D pdf|
Algebraic and geometric TopologyUniversity
| NA Pages
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
Algebraic L theory and Topological Manifolds [PDF 363p]A. A. RanickiPDF
| 363 Pages
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. ThurstonWilliam P.
| NA Pages
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.