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arXiv · 1810.11974

GKM theory for orbifold stratified spaces and application to singular toric varieties

Soumen Sarkar·Jongbaek Song
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Abstract

We study the GKM theory for a equivariant stratified space having orbifold structures in tis successive quotients. Then, we introduce the notion of an \emph{almost simple polytope}, as well as a \emph{divisive toric variety} generalizing the concept of a divisive weighted projective space. We employ the GKM theory to compute the generalized equivariant cohomology theories of toric varieties associated to almost simple polytopes and divisive toric varieties.

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Soumen Sarkar, Jongbaek Song. 2018-10-29. GKM theory for orbifold stratified spaces and application to singular toric varieties. https://doi.org/10.1016/j.topol.2020.107472

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