Cohomological localization for transverse Lie algebra actions on Riemannian foliations

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

References in corpus (1)

• Stacky Hamiltonian actions and symplectic reduction

Cited by in corpus (5)

• Stacky Hamiltonian actions and symplectic reduction
• Kirwan Surjectivity for the Equivariant Dolbeault cohomology
• A Thom isomorphism in foliated de Rham theory
• Basic Kirwan injectivity and its applications
• Leaf closures of Riemannian foliations: a survey on topological and geometric aspects of Killing foliations