Brownian Chen series and Atiyah-Singer theorem |
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| Authors: | Fabrice Baudoin |
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| Affiliation: | Institut de Mathématiques, Université Paul Sabatier, 118 Route de Narbonne, Toulouse, France |
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| Abstract: | The purpose of this work is to give a new and short proof of the Atiyah-Singer local index theorem for the Dirac operator on the spin bundle. This proof is obtained by using heat semigroups approximations based on the truncation of Brownian Chen series. |
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| Keywords: | Brownian motion Chen series Local index theorem |
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