Some remarks on Witten's method. Poincaré-Hopf theorem and Atiyah-Bott formula (Q1110888)
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scientific article; zbMATH DE number 4074032
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some remarks on Witten's method. Poincaré-Hopf theorem and Atiyah-Bott formula |
scientific article; zbMATH DE number 4074032 |
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Some remarks on Witten's method. Poincaré-Hopf theorem and Atiyah-Bott formula (English)
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1987
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\textit{E. Witten} [J. Differ. Geom. 17, 661--692 (1982; Zbl 0499.53056)] indicated how some well-known results in differential geometry can be proved by purely analytical methods, in particular he introduced supersymmetry techniques. In the paper under review the authors give a complete treatment of Witten's work concerning the Poincaré-Hopf theorem for the Euler characteristic and the Atiyah-Bott formula for the Hirzebruch signature theorem.
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Poincaré-Hopf theorem
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Atiyah-Bott formula
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Hirzebruch signature theorem
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