 92169 Rogers Alice
 Stochastic Calculus in Superspace II: Differential forms, supermanifolds and the AtiyahSinger
index theorem
(58K, TeX)
Oct 26, 92

Abstract ,
Paper (src),
View paper
(auto. generated ps),
Index
of related papers

Abstract. Starting with vector bundles over manifolds, supermanifolds are
constructed whose function algebras correspond to twisted differential
forms. Stochastic calculus for bosonic and fermionic Brownian
paths is used to provide a geometric construction of Brownian paths on
these supermanifolds. A FeynmanKac formula for the heat kernel of the
LaplaceBeltrami operator is then derived. This is used to provide a
simple, rigorous version of the supersymmetric proofs of the
AtiyahSinger index theorem.
 Files:
92169.tex