Algebraic and Geometric Surgery
Andrew Ranicki
Abstract
This book is an introduction to surgery theory, the standard algebraic topology classification method for manifolds of dimension greater than 4. It is aimed at those who have already been on a basic topology course, and would now like to understand the topology of high-dimensional manifolds. This text contains entry-level accounts of the various prerequisites of both algebra and topology. Surgery theory expresses the manifold structure set in terms of the topological K-theory of vector bundles and the algebraic L-theory of quadratic forms. While concentrating on the basic mechanics of surgery, ... More
Keywords: manifold, K-theory, L-theory, quadratic form, surgery obstruction, manifold structure set
Bibliographic Information
| Print publication date: 2002 | Print ISBN-13: 9780198509240 |
| Published to Oxford Scholarship Online: September 2007 | DOI:10.1093/acprof:oso/9780198509240.001.0001 |
