**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

**The Convenient Setting of Global Analysis**

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.

(

**9083**views)

**Floer Homology, Gauge Theory, and Low Dimensional Topology**

by

**David Ellwood, at al.**-

**American Mathematical Society**

Mathematical gauge theory studies connections on principal bundles. The book provides an introduction to current research, covering material from Heegaard Floer homology, contact geometry, smooth four-manifold topology, and symplectic four-manifolds.

(

**8196**views)

**Topology and Physics: A Historical Essay**

by

**C. Nash**-

**arXiv**

In this essay we wish to embark on the telling of a story which, almost certainly, stands only at its beginning. We shall discuss the links and the interaction between one very old subject, physics, and a much newer one, topology.

(

**8870**views)

**Optimization Algorithms on Matrix Manifolds**

by

**P.-A. Absil, R. Mahony, R. Sepulchre**-

**Princeton University Press**

Many science and engineering problems can be rephrased as optimization problems on matrix search spaces endowed with a manifold structure. This book shows how to exploit the structure of such problems to develop efficient numerical algorithms.

(

**12096**views)