Equivariant cohomology of torus orbifolds

Abstract

We calculate the integral equivariant cohomology, in terms of generators and relations, of locally standard torus orbifolds whose odd degree ordinary cohomology vanishes. We begin by studying GKM-orbifolds, which are more general, before specialising to half-dimensional torus actions.

arXiv comment28 pages, 11 figures

References in corpus (6)

• Exact cohomology sequences with integral coefficients for torus actions
• Torus orbifolds, slice-maximal torus actions and rational ellipticity
• On the Integral Cohomology Ring of Toric Orbifolds and Singular Toric Varieties
• Describing toric varieties and their equivariant cohomology
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Cited by in corpus (1)

• GKM graph locally modeled by $T^n\times S^1$-action on $T^{\ast }{\mathbb{C}}^n$ and its graph equivariant cohomology