**Exact Sequences in the Algebraic Theory of Surgery**

by Andrew Ranicki

**Publisher**: Princeton University Press 1981**ISBN/ASIN**: 0691082766**ISBN-13**: 9780691082769**Number of pages**: 881

**Description**:

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, as it was known at the time of publication.

Download or read it online for free here:

**Download link**

(13MB, PDF)

## Similar books

**Lecture Notes on Seiberg-Witten Invariants**

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.

(

**9290**views)

**Noncommutative Localization in Algebra and Topology**

by

**Andrew Ranicki**-

**Cambridge University Press**

Noncommutative localization is a 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.

(

**8470**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.

(

**16707**views)

**Special Course in Functional Analysis: (Non-)Commutative Topology**

by

**Ville Turunen**-

**Aalto TKK**

In this book you will learn something about functional analytic framework of topology. And you will get an access to more advanced literature on non-commutative geometry, a quite recent topic in mathematics and mathematical physics.

(

**10551**views)