Algebraic Topology via Differential Geometry
Author:   M. Karoubi ,  C. Leruste
Publisher:   Cambridge University Press
Volume:   99
ISBN:  

9780511629372


Publication Date:   01 March 2011
Format:   Undefined
Availability:   Available To Order   Availability explained
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Algebraic Topology via Differential Geometry


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Overview

In this volume the authors seek to illustrate how methods of differential geometry find application in the study of the topology of differential manifolds. Prerequisites are few since the authors take pains to set out the theory of differential forms and the algebra required. The reader is introduced to De Rham cohomology, and explicit and detailed calculations are present as examples. Topics covered include Mayer-Vietoris exact sequences, relative cohomology, Pioncare duality and Lefschetz's theorem. This book will be suitable for graduate students taking courses in algebraic topology and in differential topology. Mathematicians studying relativity and mathematical physics will find this an invaluable introduction to the techniques of differential geometry.

Full Product Details

Author:   M. Karoubi ,  C. Leruste
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press (Virtual Publishing)
Volume:   99
ISBN:  

9780511629372


ISBN 10:   0511629370
Publication Date:   01 March 2011
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Undefined
Publisher's Status:   Active
Availability:   Available To Order   Availability explained
We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately.

Table of Contents

Introduction; 1. Algebraic preliminaries; 2. differential forms on an open subset of Rn; 3. differentiable manifolds; 4. De Rham cohomology of differentiable manifolds; 5. Computing cohomology; 6. Poincaré duality - Lefschetz' theorem; Appendixes; Bibliography; Index.

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