Brownian Chen series and Atiyah-Singer theorem

TY - JOUR

T1 - Brownian Chen series and Atiyah-Singer theorem

AU - Baudoin, Fabrice

PY - 2008/1/15

Y1 - 2008/1/15

N2 - 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.

AB - 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.

KW - Brownian motion

KW - Chen series

KW - Local index theorem

UR - http://www.scopus.com/inward/record.url?scp=36849010203&partnerID=8YFLogxK

U2 - 10.1016/j.jfa.2007.09.022

DO - 10.1016/j.jfa.2007.09.022

M3 - Journal article

AN - SCOPUS:36849010203

SN - 0022-1236

VL - 254

SP - 301

EP - 317

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 2

ER -