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Koushik Brahma, Soumen Sarkar and Subhankar Sau:
Polytopal $k$-wedge construction and its application on quasitoric orbifolds.
Topology and its Applications
, (accepted for publication).
Koushik Brahma, Soumen Sarkar and Subhankar Sau:
Resolution of singularities of toric orbifolds and equivariant cobordism of contact toric manifolds.
Chinese Annals of Mathematics, Series B
(accepted for publication).
Joji Benny, Supriyo Jana and Soumen Sarkar:
Invariant circles and phase portraits of cubic vector fields on the sphere.
Qualitative Theory of Dynamical Systems
, 23 (2024), no. 3, Paper No. 121, 23 pp.
Soumen Sarkar and Subhankar Sau:
On cohomology of quasitoric manifolds over a vertex cut of a finite product of simplices.
Moscow Mathematical Journal
, (accepted for publication).
Koushik Brahma, Bikramaditya Naskar, Soumen Sarkar and Subhankar Sau:
Various topological complexities of small covers and real Bott manifolds.
Proceedings of the Royal Society of Edinburgh Section A
, (accepted for publication).
Navnath Daundkar and Soumen Sarkar:
LS-category and topological complexity of several families of fibre bundles.
Homology, Homotopy and Applications
, (accepted for publication).
Joji Benny and Soumen Sarkar:
Invariant hyperplane sections of vector fields on the product of spheres.
Journal of Dynamical and Control Systems
, 30 (2024), no. 1, Paper No. 2, 18 pp.
Koushik Brahma and Soumen Sarkar:
Integral generalized equivariant cohomologies of weighted Grassmann orbifolds.
Algebraic and Geometric Topology
, (accepted for publication).
Yuli Rudyak and Soumen Sarkar:
Maps of degree one, LS category and higher topological complexities.
Topological Methods in Nonlinear Analysis
, 61 (2023), no. 1, 7-20.
Yuli Rudyak and Soumen Sarkar:
Relative LS categories and higher topological complexities of maps.
Topology and its Applications
, 322 (2022), Paper No. 108317, 16 pp.
Soumen Sarkar and Peter Zvengrowski:
On generalized projective product spaces and Dold manifolds.
Homology, Homotopy and Applications
, Volume 24 (2022), no. 2, 265-290.
Soumen Sarkar and Dong Youp Suh:
Equivariant cobordism of torus orbifolds.
Chinese Annals of Mathematics, Series B
, 42 (2021), no. 6, 861-890.
Koushik Brahma, Soumen Sarkar and Subhankar Sau:
Torsion in the cohomology of blowups of quasitoric orbifolds.
Topology and its Applications
, Volume 295, 15 May 2021.
Soumen Sarkar and V. Uma:
Equivariant K-theory of toric orbifolds.
Journal of the Mathematical Society of Japan
, 73 (2021), no. 3, 735-752.
Soumen Sarkar and Jongbaek Song:
Equivariant cohomological rigidity of certain $T$-manifolds.
Algebraic and Geometric Topology
, 21 (2021), no. 7, 3601-3622.
Soumen Sarkar and Jongbaek Song:
GKM theory for orbifold stratified spaces and application to singular toric varieties.
Topology and its Applications
, Volume 288, 1 February 2021.
Bikramaditya Naskar and Soumen Sarkar:
On LS-category and Topological Complexity of Some Fiber Bundles and Dold Manifolds.
Topology and its Applications,
Volume 284, October 2020.
Marzieh Bayeh and Soumen Sarkar:
Higher equivariant and invariant topological complexity.
Journal of Homotopy and Related Structures
, 15 (2020), no. 3-4, 397-416.
Soumen Sarkar and Donald Stanley:
Cohomology rings of a class of torus manifolds.
Transactions of the Moscow Mathematical Society
, 81 (2020), 71-86.
Soumen Sarkar:
Equivariant K-theory of divisive torus orbifolds.
Rocky Mountain J. Math.
50 (2020), no. 1, 255-266.
Anthony Bahri, Dietrich Notbohm, Soumen Sarkar and Jongbaek Song:
On integral cohomology of certain orbifolds.
International Mathematics Research Notices (IMRN)
2021, no. 6, 4140-4168.
Anthony Bahri, Soumen Sarkar and Jongbaek Song:
Infinite Families of Equivariantly Formal Toric Orbifolds.
Forum Mathematicum
31 (2019), no. 2, 283-301.
Basudeb Datta and Soumen Sarkar:
Equilibrium triangulations of some quasitoric 4-manifolds.
Southeast Asian Bulletin of Mathematics, Vol.44(1) (2020) page: 57-78.
Marzieh Bayeh and Soumen Sarkar:
Orbit Class and its Applications.
Fundamenta Mathematicae
245 (2019), no. 1, 55-77.
Soumen Sarkar and Dong Youp Suh:
A new construction of lens spaces.
Topology and its Applications
240 (2018), 1-20.
Soumen Sarkar:
Oriented cobordism of $CP^{2k+1}$.
J. Adv. Stud. Topol. 8 (2017), no. 2, 135-143.
Anthony Bahri, Soumen Sarkar and Jongbaek Song:
On the integral cohomology ring of toric orbifolds and singular toric varieties.
Algebraic and Geometric Topology
17 (2017), no. 6, 3779-3810.
Michael Pors, Soumen Sarkar and Peter Zvengrowski:
Remarks About Delta-Complexes and Applications.
Homology, Homotopy and Applications
19 (2017) no. 1, 89-110.
Marzieh Bayeh and Soumen Sarkar:
Some aspects of equivariant LS-category.
Topology and its Applications
196 (2015), part A, 133-154.
Soumen Sarkar:
Complex cobordism of quasitoric orbifolds.
Topology and its Applications
194 (2015), 386-399.
Biplab Basak and Soumen Sarkar:
Equivariant and equilibrium triangulations of some small covers with minimum number of vertices.
J. Ramanujan Math. Soc.
30 (2015), no. 1, 29-50.
Mainak Poddar and Soumen Sarkar:
A class of torus manifolds with nonconvex orbit space.
Proc. Amer. Math. Soc.
143 (2015), no. 4, 1797-1811.
Soumen Sarkar:
$T^2$-cobordism of quasitoric $4$-manifolds.
Algebraic and Geometric Topology
12 (2012), no. 4, 2003-2025.
Soumen Sarkar:
Some small orbifolds over polytopes.
Tbilisi Math. Journal, Volume 4, Number 1 (2011), 1-27.
Mainak Poddar and Soumen Sarkar:
On quasitoric orbifolds.
Osaka Journal of Mathematics
Volume 47, Number 4 (December 2010), 1055-1076.
Preprints
Koushik Brahma and Soumen Sarkar:
Integral equivariant K-theory and cobordism ring of simplicial GKM orbifold complexes.
Supriyo Jana and Soumen Sarkar:
Quadratic, Homogeneous and Kolmogorov vector fields on $S^1 \times S^2$ and $S^2 \times S^1$.
Koushik Brahma, Navnath Daundkar and Soumen Sarkar:
LS-category and topological complexity of real torus manifolds and Dold manifolds of real torus type.
Supriyo Jana and Soumen Sarkar:
Integrability and dynamics of polynomial vector fields on the n-sphere.
Moitrayee Majumder and Soumen Sarkar:
An algorithmic approach to detect the complexity of neural networks.
Works in progress
Mainak Poddar and Soumen Sarkar:
On a generalization of Bott manifolds.
Soumen Sarkar and Donald Stanley:
On homotopy and cohomology of new class of even manifolds.
Soumen Sarkar and Jongbaek Song:
Some aspects of $T^{n, k}$-manifolds.
Basudeb Datta and Soumen Sarkar:
Some $\ZZ_3^n$-equivariant triangulations of $\CP^n$.
Preliminary version is available on Math-ArXiv under the second author name.
Soumen Sarkar:
Triangulations of $RP^n$ with few vertices.
There was a mistake in the Math-ArXiv version. The author is working on it.
Some other works
Soumen Sarkar:
On $Z_2^n$-equivariant triangulation of $RP^n$
Soumen Sarkar:
Orientability and equivariant oriented cobordism of 2-torus manifolds.