Chen series and Atiyah-Singer index theorem

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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.
31 pages

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Probability, Analysis of PDEs

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http://salesiana.dossiersoluciones.com/handle/123456789/209776

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0608231
 http://arxiv.org/abs/math/0608231
 Journal of Functional Analysis, Vol. 254, 2, pp. 301-317 (2008)

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arXiv