**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

**Diffeomorphisms of Elliptic 3-Manifolds**

by

**S. Hong, J. Kalliongis, D. McCullough, J. H. Rubinstein**-

**arXiv**

The elliptic 3-manifolds are the closed 3-manifolds that admit a Riemannian metric of constant positive curvature. For any elliptic 3-manifold M, the inclusion from the isometry group of M to the diffeomorphism group of M is a homotopy equivalence.

(

**4924**views)

**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.

(

**5782**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.

(

**3065**views)

**Geometry of Surfaces**

by

**Nigel Hitchin**

Geometry of Surfaces by Nigel Hitchin is a textbook on surfaces. However the author is also going to try and consider surfaces intrinsically, or abstractly, and not necessarily embedded in three-dimensional Euclidean space.

(

**8973**views)