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Chen series and Atiyah-Singer index theorem

Fabrice Baudoin
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Abstract

The purpose of this work is to give a new and short proof of Atiyah-Singer local index theorem by using heat semigroups approximations based on the truncature of Brownian Chen series.

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Fabrice Baudoin. 2008-12-08. Chen series and Atiyah-Singer index theorem. https://arxiv.org/abs/math/0608231

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