**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

**Elementary Topology**

by

**O. Ya. Viro, O. A. Ivanov, N. Yu. Netsvetaev, V. M. Kharlamov**-

**American Mathematical Society**

This textbook on elementary topology contains a detailed introduction to general topology and an introduction to algebraic topology via its most classical and elementary segment centered at the notions of fundamental group and covering space.

(

**12564**views)

**Manifold Theory**

by

**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.

(

**6449**views)

**An Introduction to Algebraic Surgery**

by

**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.

(

**7709**views)

**Algebraic and Geometric Topology**

by

**Andrew Ranicki, Norman Levitt, Frank Quinn**-

**Springer**

The book present original research on a wide range of topics in modern topology: the algebraic K-theory of spaces, the algebraic obstructions to surgery and finiteness, geometric and chain complexes, characteristic classes, and transformation groups.

(

**12407**views)