GKM theory for orbifold stratified spaces and application to singular toric varieties
arXiv:1810.11974 · doi:10.1016/j.topol.2020.107472
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.
17 pages, 4 Figures