On integral Chang-Skjelbred computations with disconnected isotropy groups

Autor:	Zoller, Leopold
Rok vydání:	2024
Předmět:	Mathematics - Algebraic Topology 55N91 (primary) 57R91 (secondary)
Druh dokumentu:	Working Paper
Popis:	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. Comment: Comments welcome!
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2407.03052 Zobrazit plný text záznamu View this record from Arxiv