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Equivariant cohomology of torus orbifolds

  • Dr. Jongbaek Song (Department of Mathematical Sciences, Korea Advanced Institute of Science and Technology)

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 specializing to half-dimensional torus actions. This is a joint work with Shintaro Kuroki and Alastair Darby.