£99.20

Chapman and Hall/CRC Elliptic Operators, Topology, and Asymptotic Methods (Pitman Research Notes In Mathematics Series)

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£99.20 £92.60 £94.04 £95.48 £96.92 £98.36 £99.80 10 June 2026 28 June 2026 17 July 2026 04 August 2026 23 August 2026

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Description

This Research Note gives an introduction to the circle of ideas surrounding the `heat equation proof' of the Atiyah-Singer index theorem. Asymptotic expansions for the solutions of partial differential equations on compact manifolds are used to obtain topological information, by means of a `supersymmetric' cancellation of eigenspaces. The analysis is worked out in the context of Dirac operators on Clifford bundles. The work includes proofs of the Hodge theorem; eigenvalue estimates; the Lefschetz theorem; the index theorem; and the Morse inequalities. Examples illustrate the general theory, and several recent results are included. This new edition has been revised to streamline some of the analysis and to give better coverage of important examples and applications. Readership: The book is aimed at researchers and graduate students with a background in differential geometry and functional analysis.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
06 January 1999
Listed Since
05 February 2007

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