English

Equivariant cohomology of torus orbifolds

Algebraic Topology 2020-12-04 v3

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.

Keywords

Cite

@article{arxiv.1809.03678,
  title  = {Equivariant cohomology of torus orbifolds},
  author = {Alastair Darby and Shintaro Kuroki and Jongbaek Song},
  journal= {arXiv preprint arXiv:1809.03678},
  year   = {2020}
}

Comments

28 pages, 11 figures