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arXiv · 1704.09019

A Remark on the Localization formulas about two Killing vector fields

Xu Chen
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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.

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Xu Chen. 2017-04-28. A Remark on the Localization formulas about two Killing vector fields. https://arxiv.org/abs/1704.09019

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