paper

Cohomological localization for transverse Lie algebra actions on Riemannian foliations

arXiv:1806.01908 · doi:10.1016/j.geomphys.2020.103887

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.

35 pages. This revision has minor additions to introduction and preliminary section