Brownian Chen series and Atiyah-Singer theorem (Q2469823)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Brownian Chen series and Atiyah-Singer theorem |
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Brownian Chen series and Atiyah-Singer theorem (English)
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11 February 2008
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The author gives a new probabilistic proof of the Atiyah-Singer local index theorem. Using Brownian Chen series, the author relies on explicit approximation of heat semigroups and avoids the use of the Feynman-Kac formula and stochastic differential geometry.
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Brownian motion
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Chen series
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Atiyah-Singer local index theorem
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