A Remark on the Localization formulas about two Killing vector fields

Xu Chen

A Remark on the Localization formulas about two Killing vector fields

Differential Geometry 2017-05-01 v1 Symplectic Geometry

Authors: Xu Chen

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.

Keywords

killing spinors vector fields

Cite

@article{arxiv.1704.09019,
  title  = {A Remark on the Localization formulas about two Killing vector fields},
  author = {Xu Chen},
  journal= {arXiv preprint arXiv:1704.09019},
  year   = {2017}
}

Comments

13 pages. arXiv admin note: substantial text overlap with arXiv:1304.3806

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