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Supersymmetric path integrals
Authors:John Lott
Affiliation:(1) Department of Mathematics, Harvard University, 02138 Cambridge, MA, USA;(2) Present address: IHES, Bures-sur-Yvette, France
Abstract:The supersymmetric path integral is constructed for quantum mechanical models on flat space as a supersymmetric extension of the Wiener integral. It is then pushed forward to a compact Riemannian manifold by means of a Malliavin-type construction. The relation to index theory is discussed.Research supported by an NSF postdoctoral fellowship
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