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Chen series and Atiyah-Singer index theorem

Probability 2008-12-09 v2 Analysis of PDEs

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.

Cite

@article{arxiv.math/0608231,
  title  = {Chen series and Atiyah-Singer index theorem},
  author = {Fabrice Baudoin},
  journal= {arXiv preprint arXiv:math/0608231},
  year   = {2008}
}

Comments

31 pages