27 citations · 86 across the 26 of their papers we have counts for
5 papers · 1 filter
GKM theory for orbifold stratified spaces and application to singular toric varieties
Soumen Sarkar, Jongbaek Song
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}…
Cohomology Rings of a Class of Torus Manifolds
Soumen Sarkar, Donald Stanley
Torus manifolds are topological generalization of smooth projective toric manifolds. We compute the rational cohomology ring of a class of smooth locally standard torus manifolds w…
Higher equivariant and invariant topological complexity
Marzieh Bayeh, Soumen Sarkar
In this paper we introduce the concepts of higher equivariant and invariant topological complexity; and study their properties. Then we compare them with equivariant LS-category. W…
Equivariant K-theory of toric orbifolds
Soumen Sarkar, V. Uma
Toric orbifolds are a topological generalization of projective toric varieties associated to simplicial fans. We introduce some sufficient conditions on the combinatorial data asso…
Infinite Families of Equivariantly Formal Toric Orbifolds
Anthony Bahri, Soumen Sarkar, Jongbaek Song
The simplicial wedge construction on simplicial complexes and simple polytopes has been used by a variety of authors to study toric and related spaces, including non-singular toric…