Notes on Basic 3-Manifold Topology
by Allen Hatcher
2000
Number of pages: 61
Description:
The little that exists of the 3-manifolds book (see below for a table of contents) is rather crude and unpolished, and doesn't cover a lot of material, but it does contain a few things that aren't readily available elsewhere, like the elementary form of the Jaco-Shalen/Johannson torus decomposition theorem.
Download or read it online for free here:
Download link
(0.4MB, PDF)
Similar books
Geometric Topology: Localization, Periodicity and Galois Symmetryby Dennis Sullivan - Springer
In 1970, Sullivan circulated this set of notes introducing localization and completion of topological spaces to homotopy theory, and other important concepts. The notes remain worth reading for the fresh picture they provide for geometric topology.
(6749 views)
Geometry of Surfacesby Nigel Hitchin
Geometry of Surfaces by Nigel Hitchin is a textbook on surfaces. However the author is also going to try and consider surfaces intrinsically, or abstractly, and not necessarily embedded in three-dimensional Euclidean space.
(10983 views)
Combinatorial Knot Theoryby Louis H. Kauffman - University of Illinois at Chicago
This book is an introduction to knot theory and to Witten's approach to knot theory via his functional integral. Contents: Topics in combinatorial knot theory; State Models and State Summations; Vassiliev Invariants and Witten's Functional Integral.
(7545 views)
Foliations and the Geometry of 3-manifoldsby Danny Calegari - Oxford University Press
The book gives an exposition of the 'pseudo-Anosov' theory of foliations of 3-manifolds. This theory generalizes Thurston's theory of surface automorphisms, and reveals an intimate connection between dynamics, geometry and topology in 3 dimensions.
(9849 views)