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(Ebook) Invariance Theory: The Heat Equation and the Atiyah-Singer Index Theorem by Gilkey, Peter B.; Krantz, Steven George ISBN 9781351436434, 1351436430

  • SKU: EBN-7160224
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5.0

34 reviews
Instant download (eBook) Invariance Theory: The Heat Equation and the Atiyah-Singer Index Theorem after payment.
Authors:Gilkey, Peter B.; Krantz, Steven George
Pages:531 pages.
Year:2018
Editon:2nd ed
Publisher:Chapman and Hall/CRC
Language:english
File Size:20.95 MB
Format:pdf
ISBNS:9781351436434, 1351436430
Categories: Ebooks

Product desciption

(Ebook) Invariance Theory: The Heat Equation and the Atiyah-Singer Index Theorem by Gilkey, Peter B.; Krantz, Steven George ISBN 9781351436434, 1351436430

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.
*Free conversion of into popular formats such as PDF, DOCX, DOC, AZW, EPUB, and MOBI after payment.

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