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
The Geometry and Topology of Three-Manifoldsby William P Thurston - Mathematical Sciences Research Institute
The text describes the connection between geometry and lowdimensional topology, it is useful to graduate students and mathematicians working in related fields, particularly 3-manifolds and Kleinian groups. Much of the material or technique is new.
(19822 views)
Algebraic and Geometric Surgeryby Andrew Ranicki - Oxford University Press
Surgery theory is the standard method for the classification of high-dimensional manifolds, where high means 5 or more. This book aims to be an entry point to surgery theory for a reader who already has some background in topology.
(11914 views)
An Introduction to High Dimensional Knotsby Eiji Ogasa - arXiv
This is an introductory article on high dimensional knots for the beginners. Is there a nontrivial high dimensional knot? We first answer this question. We explain local moves on high dimensional knots and the projections of high dimensional knots.
(8041 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.
(12234 views)