Noncommutative Localization in Algebra and Topology
by Andrew Ranicki
Publisher: Cambridge University Press 2002
ISBN/ASIN: 052168160X
ISBN-13: 9780521681605
Number of pages: 323
Description:
Noncommutative localization is a powerful algebraic technique for constructing new rings by inverting elements, matrices and more generally morphisms of modules. The applications to topology are via the noncommutative localizations of the fundamental group rings.
Download or read it online for free here:
Download link
(1.7MB, PDF)
Similar books

by Reyer Sjamaar - Cornell University
The text covers manifolds and differential forms for an audience of undergraduates who have taken a typical calculus sequence, including basic linear algebra and multivariable calculus up to the integral theorems of Green, Gauss and Stokes.
(11813 views)

by Andrew Ranicki - Princeton University Press
One of the principal aims of surgery theory is to classify the homotopy types of manifolds using tools from algebra and topology. The algebraic approach is emphasized in this book, and it gives the reader a good overview of the subject.
(8859 views)

by Andreas Kriegl, Peter W. Michor - American Mathematical Society
This book lays the foundations of differential calculus in infinite dimensions and discusses those applications in infinite dimensional differential geometry and global analysis not involving Sobolev completions and fixed point theory.
(12524 views)

by John Douglas Moore - Springer
A streamlined introduction to the theory of Seiberg-Witten invariants suitable for second-year graduate students. These invariants can be used to prove that there are many compact topological four-manifolds which have more than one smooth structure.
(9186 views)