24 x 16 cm, hardcover, x, 350 pages, Text in English, very good condition, see picture. Mathematics Lecture Series, vol. 11. A monograph on the heat equation method in the proof of the Atiyah Singer index theorem, presenting applications to differential geometry and global analysis. 680g.

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Bibliographic Details

Title

Invariance Theory, The Heat Equation, and the Atiyah-Singer Index Theorem.

Publisher

Publish or Perish, Inc., Wilmington, Delaware

Publication Date

1984

Language

English

ISBN 10

0914098209

ISBN 13

9780914098201

Binding

Soft cover

Weight

680 grams

Seller catalogs

Wetenschap, Techniek

About this title

Synopsis

This book treats the Atiyah-Singer index theorem using the heat equation, which gives a local formula for the index of any elliptic complex. Heat equation methods are also used to discuss Lefschetz fixed point formulas, the Gauss-Bonnet theorem for a manifold with smooth boundary, and the geometrical theorem for a manifold with smooth boundary. The author uses invariance theory to identify the integrand of the index theorem for classical elliptic complexes with the invariants of the heat equation.

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