A Remark on the Localization formulas about two Killing vector fields

الأصل · EN

In this article, we will discuss a localization formulas of equivariant cohomology about two Killing vector fields on the set of zero points Zero(Xₘ-√-1Yₘ)={x∈ M |Yₘ(x)|=|Xₘ(x)|=0 }. As application, we use it to get formulas about characteristic numbers and to get a Duistermaat-Heckman type formula on symplectic manifold.