A Thom isomorphism in foliated de Rham theory

Abstract

We prove a Thom isomorphism theorem for differential forms in the setting of transverse Lie algebra actions on foliated manifolds and foliated vector bundles.

arXiv comment29 pages. Contains material from first version of arXiv:1806.01908. Section 4 revised and expanded. Figure added

References in corpus (2)

• Equivariant relative Thom forms and Chern characters
• Cohomological localization for transverse Lie algebra actions on Riemannian foliations

Cited by in corpus (1)

• Equivariant basic cohomology under deformations