On integral Chang-Skjelbred computations with disconnected isotropy groups

Leopold Zoller
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Abstract

The Chang-Skjelbred method computes the cohomology of a suitable space with a torus action from its equivariant one-skeleton. We show that, under certain restrictions on the cohomological torsion, the integral cohomology is encoded in the one-skeleton even in the presence of arbitrary disconnected isotropy groups. We provide applications to Hamiltonian actions as well as to the GKM case. In the latter, our results lead to a modification of the GKM formula for graph cohomology.
关于带断开各向同性群的张-斯凯尔布雷德积分计算
Chang-Skjelbred 方法通过等变单骨架计算具有atorus 作用的合适空间的同调。我们证明,在同调扭转的某些限制条件下,即使存在任意断开的各向同性群,积分同调也会被编码在单骨架中。我们提供了哈密顿作用和 GKM 案例的应用。在后者中,我们的结果导致了对 GKM 公式图同调的修改。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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