Algebraic and Geometric Surgery
by Andrew Ranicki
Publisher: Oxford University Press 2002
ISBN/ASIN: 0198509243
ISBN-13: 9780198509240
Number of pages: 380
Description:
This book is an introduction to surgery theory: the standard classification method for high-dimensional manifolds. It is aimed at graduate students, who have already had a basic topology course, and would now like to understand the topology of high-dimensional manifolds.
Download or read it online for free here:
Download link
(2MB, PDF)
Similar books
Manifold Theoryby Peter Petersen - UCLA
These notes are a supplement to a first year graduate course in manifold theory. These are the topics covered: Manifolds (Smooth Manifolds, Projective Space, Matrix Spaces); Basic Tensor Analysis; Basic Cohomology Theory; Characteristic Classes.
(8062 views)
A Concise Course in Algebraic Topologyby J. P. May - University Of Chicago Press
This book provides a detailed treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics. Most chapters end with problems that further explore and refine the concepts presented.
(17200 views)
An Introduction to Algebraic Surgeryby Andrew Ranicki - arXiv
Browder-Novikov-Sullivan-Wall surgery theory investigates the homotopy types of manifolds, using a combination of algebra and topology. It is the aim of these notes to provide an introduction to the more algebraic aspects of the theory.
(9463 views)
Lectures on Introduction to Algebraic Topologyby G. de Rham - Tata Institute of Fundamental Research
These notes were intended as a first introduction to algebraic Topology. Contents: Definition and general properties of the fundamental group; Free products of groups and their quotients; On calculation of fundamental groups; and more.
(8326 views)