Laplace operators on differential forms over configuration spaces

Abstract

Spaces of differential forms over configuration spaces with Poisson measures are constructed. The corresponding Laplacians (of Bochner and de Rham type) on forms and associated semigroups are considered. Their probabilistic interpretation is given.

References in corpus (1)

• Laplace operators and diffusions in tangent bundles over Poisson spaces

Cited by in corpus (3)

• Stochastic Equivariant Cohomologies and Cyclic Cohomology
• L2 dimensions of spaces of braid-invariant harmonic forms
• BV Functions and Sets of Finite Perimeter on Configuration Spaces