**Surgical Methods in Rigidity**

by F.T. Farrell

**Publisher**: Springer 1996**ISBN/ASIN**: 3540589775**ISBN-13**: 9783540589778**Number of pages**: 108

**Description**:

This book is an introduction to the topological rigidity theorem for compact non-positively curved Riemannian manifolds. It contains a quick informal account of the background material from surgery theory and controlled topology prerequesite to this result. It is intended for researchers and advanced graduate students in both differential geometry and topology.

Download or read it online for free here:

**Download link**

(3.9MB, PDF)

## Similar books

**Algebraic and Geometric Surgery**

by

**Andrew Ranicki**-

**Oxford University Press**

Surgery theory is the standard method for the classification of high-dimensional manifolds, where high means 5 or more. This book aims to be an entry point to surgery theory for a reader who already has some background in topology.

(

**10371**views)

**Lectures on Polyhedral Topology**

by

**John R. Stallings**-

**Tata Institute of Fundamental Research**

These notes contain: The elementary theory of finite polyhedra in real vector spaces; A theory of 'general position' (approximation of maps), based on 'non-degeneracy'. A theory of 'regular neighbourhoods' in arbitrary polyhedra; etc.

(

**9338**views)

**Knot Diagrammatics**

by

**Louis H. Kauffman**-

**arXiv**

This paper is a survey of knot theory and invariants of knots and links from the point of view of categories of diagrams. The topics range from foundations of knot theory to virtual knot theory and topological quantum field theory.

(

**7097**views)

**Surgery on Compact Manifolds**

by

**C.T.C. Wall, A. A. Ranicki**-

**American Mathematical Society**

This book represents an attempt to collect and systematize the methods and main applications of the method of surgery, insofar as compact (but not necessarily connected, simply connected or closed) manifolds are involved.

(

**9715**views)