Cohomological localization for transverse Lie algebra actions on Riemannian foliations
Differential Geometry
2023-11-27 v3 Symplectic Geometry
Abstract
We prove localization and integration formulas for the equivariant basic cohomology of Riemannian foliations. As a corollary we obtain a Duistermaat-Heckman theorem for transversely symplectic foliations.
Keywords
Cite
@article{arxiv.1806.01908,
title = {Cohomological localization for transverse Lie algebra actions on Riemannian foliations},
author = {Yi Lin and Reyer Sjamaar},
journal= {arXiv preprint arXiv:1806.01908},
year = {2023}
}
Comments
35 pages. This revision has minor additions to introduction and preliminary section