English

A Thom isomorphism in foliated de Rham theory

Differential Geometry 2023-11-27 v3

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.

Keywords

Cite

@article{arxiv.2001.11848,
  title  = {A Thom isomorphism in foliated de Rham theory},
  author = {Yi Lin and Reyer Sjamaar},
  journal= {arXiv preprint arXiv:2001.11848},
  year   = {2023}
}

Comments

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

R2 v1 2026-06-23T13:26:35.959Z