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On integral Chang-Skjelbred computations with disconnected isotropy groups

On integral Chang-Skjelbred computations with disconnected isotropy groups

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 …