27 citations · 86 across the 26 of their papers we have counts for
31 papers
On the equivariant triangulation of some small covers
Raju Kumar Gupta, Soumen Sarkar
In this paper, we study certain properties of -equivariant triangulations of small covers. We show that any -equivariant triangulation of a small co…
LS-category and topological complexity of real torus manifolds and Dold manifolds of real torus type
Koushik Brahma, Navnath Daundkar, Soumen Sarkar
The real torus manifolds are a generalization of small covers, and the Dold manifolds of real torus type are a class of non-trivial fibre bundles over the projective product spaces…
Quadratic, Homogeneous and Kolmogorov vector fields on and
Supriyo Jana, Soumen Sarkar
In this paper, we consider the following two algebraic hypersurfaces and $$S^…
Various Topological Complexities of Small Covers and Real Bott Manifolds
Koushik Brahma, Bikramaditya Naskar, Soumen Sarkar +1
In this paper, we compute the LS-category and equivariant LS-category of a small cover and its real moment angle manifold. We calculate a tight lower bound for the topological comp…
Integral equivariant -theory and cobordism ring of simplicial GKM orbifold complexes
Koushik Brahma, Soumen Sarkar
In this paper, we define `simplicial GKM orbifold complexes' and study some of their topological properties. We introduce the concept of filtration of regular graphs and `simplicia…
LS-category and topological complexity of several families of fibre bundles
Navnath Daundkar, Soumen Sarkar
In this paper, we study upper bounds for the topological complexity of the total spaces of some classes of fibre bundles. We calculate a tight upper bound for the topological compl…
Invariant Hyperplane Sections of Vector Fields on the Product of Spheres
Joji Benny, Soumen Sarkar
Let be the hypersurface in defined by the following: $$ S_{p,q} := \left\lbrace (x_1,\ldots,x_{p+1},x_{p+2},\ldots,x_{p+q+1}) \in \mathbb{R}^{p+q+1}…
Resolution of singularities of toric orbifolds and equivariant cobordism of contact toric manifolds
Koushik Brahma, Soumen Sarkar, Subhankar Sau
Toric orbifolds are a generalization of simplicial projective toric varieties. In this paper, we show that there is a resolution of singularities of a toric orbifold. In a differen…
Relative LS categories and higher topological complexities of maps
Yuli B. Rudyak, Soumen Sarkar
In this paper, we study three relative LS categories of a map and study some of their properties. Then we introduce the `higher topological complexity' and `weak higher topological…
On cohomology of quasitoric manifolds over a vertex cut of a finite product of simplices
Soumen Sarkar, Subhankar Sau
In this paper, we classify the characteristic matrices associated to quasitoric manifolds over a vertex cut of a finite product of simplices. We discuss the integral cohomology rin…
Integral generalized equivariant cohomologies of weighted Grassmann orbifolds
Koushik Brahma, Soumen Sarkar
We introduce a new definition of weighted Grassmann orbifolds. We study their several invariant -cell structures and the orbifold singularities on these -cells. We discuss wh…
On generalized projective product spaces and Dold manifolds
Soumen Sarkar, Peter Zvengrowski
D. Davis introduced projective product spaces in 2010 as a generalization of real projective spaces and discussed some of their topological properties. On the other hand, Dold mani…
Equivariant cohomological rigidity of certain -manifolds
Soumen Sarkar, Jongbaek Song
We introduce the category of {\it locally -standard -manifolds} which includes well-known classes of manifolds such as toric and quasitoric manifolds, good contact toric mani…
Equivariant cobordism of torus orbifolds
Soumen Sarkar, Dong Youp Suh
Torus orbifolds are topological generalization of symplectic toric orbifolds. We give a construction of smooth orbifolds with torus actions whose boundary is a disjoint union of to…
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…
On integral cohomology of certain orbifolds
Anthony Bahri, Dietrich Notbohm, Soumen Sarkar +1
The CW structure of certain spaces, such as effective orbifolds, can be too complicated for computational purposes. In this paper we use the concept of -CW complex stru…
On the Integral Cohomology Ring of Toric Orbifolds and Singular Toric Varieties
Anthony Bahri, Soumen Sarkar, Jongbaek Song
We examine the integral cohomology rings of certain families of -dimensional orbifolds that are equipped with a well-behaved action of the -dimensional real torus. These…
Equilibrium triangulations of some quasitoric 4-manifolds
Basudeb Datta, Soumen Sarkar
Quasitoric manifolds, introduced by M. Davis and T. Januskiewicz in 1991, are topological generalizations of smooth complex projective spaces. In 1992, Banchoff and Kühnel construc…
Some Aspects of Equivariant LS-category
Marzieh Bayeh, Soumen Sarkar
We study the lower bounds and upper bounds for LS-category and equivariant LS-category. In particular we compute both invariants for torus manifolds. There are some examples to sho…
Complex Cobordism of quasitoric orbifolds
Soumen Sarkar
We construct orbifolds with quasitoric boundary and show that they have stable almost complex structure. We show that a quasitoric orbifold is complex cobordant to finite disjoint…