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Algebraic Topology via Differential Geometry : London Mathematical Society Lecture Note Series - M. Karoubi

Algebraic Topology via Differential Geometry

London Mathematical Society Lecture Note Series

Paperback

Published: 7th March 1988
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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.

Introductionp. ix
Algebraic preliminariesp. 1
Differential forms on an open subset of R[superscript n]p. 30
Differentiable manifoldsp. 70
De Rham cohomology of differentiable manifoldsp. 121
Computing cohomologyp. 161
Poincare duality-Lefschetz' theoremp. 214
Stokes' theoremp. 319
Chem character and non-commutative De Rham cohomologyp. 333
Bibliographyp. 360
Indexp. 361
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9780521317146
ISBN-10: 0521317142
Series: London Mathematical Society Lecture Note Series
Audience: Professional
Format: Paperback
Language: English , French
Number Of Pages: 376
Published: 7th March 1988
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 2.1
Weight (kg): 0.55