**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

**Lecture Notes on Motivic Cohomology**

by

**Carlo Mazza, Vladimir Voevodsky, Charles Weibel**-

**AMS**

This book provides an account of the triangulated theory of motives. Its purpose is to introduce Motivic Cohomology, to develop its main properties, and finally to relate it to other known invariants of algebraic varieties and rings.

(

**9720**views)

**Differential Forms and Cohomology: Course**

by

**Peter Saveliev**-

**Intelligent Perception**

Differential forms provide a modern view of calculus. They also give you a start with algebraic topology in the sense that one can extract topological information about a manifold from its space of differential forms. It is called cohomology.

(

**8917**views)

**Geometry of 2D Topological Field Theories**

by

**Boris Dubrovin**-

**arXiv**

These lecture notes are devoted to the theory of equations of associativity describing geometry of moduli spaces of 2D topological field theories. Topics: WDVV equations and Frobenius manifolds; Polynomial solutions of WDVV; Symmetries of WDVV; etc.

(

**13401**views)

**Modern Algebraic Topology**

by

**D. G. Bourgin**-

**Macmillan**

Contents: Preliminary algebraic background; Chain relationships; The absolute homology groups and basic examples; Relative omology modules; Manifolds and fixed cells; Omology exact sequences; Simplicial methods and inverse and direct limits; etc.

(

**7806**views)