Chen series and Atiyah-Singer index theorem

Details Chen series and Atiyah-Singer index theorem Chen series and Atiyah-Singer index theorem

2006-08-09

arxiv.org/abs/math/0608231v2

Journal of Functional Analysis, Vol. 254, 2, pp. 301-317 (2008)

Mathematics

Probability

31 pages

Scientific paper

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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