Invariance Theory, The Heat Equation, and the Atiyah-Singer Index Theorem.. This item is unavailable.
Language: English
Published by Publish or Perish, Inc., Wilmington, Delaware, 1984
- Softcover
- Used
Seller: Emile Kerssemakers ILAB, Heerlen, NetherlandsEmile Kerssemakers ILAB
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Softcover
Condition: Used
US$ 92.03
Item description from seller
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 AtiyahSinger index theorem, presenting applications to differential geometry and global analysis. 680g.
Seller Inventory # 81170
- Title
- Invariance Theory, The Heat Equation, and the Atiyah-Singer Index Theorem.
- Author
- Gilkey, Peter B.
- Publisher
- Publish or Perish, Inc., Wilmington, Delaware
- Publication year
- 1984
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 0914098209
- ISBN 13
- 9780914098201
- Item weight
- 680 grams
- Seller catalogs
- Wetenschap, Techniek
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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