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###-Book Description Begin-###
by Peter B. Gilkey (Author)
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.
Hardcover: 536 pages
Publisher: CRC Press; 2nd edition (February 1, 1995)
Language: English
ISBN-10: 0849378745
ISBN-13: 978-0849378744
