A Remark on the Localization formulas about two Killing vector fields
arXiv:1704.09019
Abstract
In this article, we will discuss a localization formulas of equivariant cohomology about two Killing vector fields on the set of zero points ${\rm{Zero}}(X_{M}-\sqrt{-1}Y_{M})=\{x\in M \mid |Y_{M}(x)|=|X_{M}(x)|=0 \}.$ As application, we use it to get formulas about characteristic numbers and to get a Duistermaat-Heckman type formula on symplectic manifold.
13 pages. arXiv admin note: substantial text overlap with arXiv:1304.3806