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

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.

arXiv comment17 pages, 4 Figures

References in corpus (7)

• Lectures on 0/1-polytopes
• On the Integral Cohomology Ring of Toric Orbifolds and Singular Toric Varieties
• Describing toric varieties and their equivariant cohomology
• Generic torus orbit closures in Schubert varieties
• The equivariant cohomology of weighted projective space
• Rational smoothness, cellular decompositions and GKM theory
• Equivariant $K$-theory of quasitoric manifolds