Singular oscillatory integrals in equivariant cohomology. Residue formulae for basic differential forms on general symplectic manifolds

Panagiotis Konstantis, Benjamin Küster, Pablo Ramacher

Let $M$ be a symplectic manifold and $G$ a connected, compact Lie group acting on $M$ in a Hamiltonian way. In this paper, we study the equivariant cohomology of $M$ represented by…