Invariance Theory : The Heat Equation and the Atiyah-Singer Index Theorem
Book Details
Format
Hardback or Cased Book
Book Series
Studies in Advanced Mathematics
ISBN-10
0849378745
ISBN-13
9780849378744
Publisher
Taylor & Francis Inc
Imprint
CRC Press Inc
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Dec 22nd, 1994
Print length
530 Pages
Weight
910 grams
Dimensions
16.40 x 24.10 x 3.50 cms
Product Classification:
Maths for scientistsPhysics
Ksh 51,300.00
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This book treats the Atiyah-Singer index theorem using the heat equation, which gives a local formula for the index of any elliptic complex
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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