5 citations · 7 across the 9 of their papers we have counts for
9 papers
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…
Use of a smartphone camera to determine the focal length of a thin lens by finding the transverse magnification of the virtual image of an object
Sanjoy Kumar Pal, Soumen Sarkar, Surajit Chakrabarti
In this work we have determined the focal length of a concave lens by photographing the virtual image of an object by a smartphone camera. We have similarly determined the focal le…
Determination of the refractive index of water and glass using smartphone cameras by estimating the apparent depth of an object
Sanjoy Kumar Pal, Soumen sarkar, Surajit Chakrabarti
A smartphone camera can be used for measuring the width and distance of an object by taking its photograph. The focal length of the camera lens can be determined very accurately by…
Maps of degree one, relative LS category and higher topological complexities
Yuli B. Rudyak, Soumen Sarkar
In this paper, we introduce relative LS category of a map and study some of its properties. Then we introduce `higher topological complexity' of a map, a homotopy invariant. We giv…
Blowdown, -wedge and evenness of quasitoric orbifolds
Koushik Brahma, Soumen Sarkar, Subhankar Sau
In this paper, we introduce polytopal -wedge construction and blowdown of a simple polytope and inspect the effect on the retraction sequence of a simple polytope due to -wed…
Some $\ZZ_3^n$-equivariant triangulations of $\CP^n$
Soumen Sarkar
In 1983, Banchoff and Kuhnel constructed a minimal triangulation of $\CP^2$ with 9 vertices. $\CP^3$ was first triangulated by Bagchi and Datta in 2012 with 18 vertices. Known lowe…
Triangulations of with few vertices
Soumen Sarkar
P. Arnoux and A. Marin showed that any triangulation of contains more than vertices if . We construct some natural triangulation of…
On $\ZZ_2^n$-equivariant triangulation of $\RR P^n$
Soumen Sarkar
We study several properties of $\ZZ_2^n$-equivariant triangulations of $\RR P^n$. We show that a $\ZZ_2^n$-equivariant triangulation of $\RR P^n$ induces a triangulated subdivision…
Equilibrium and equivariant triangulations of some small covers with minimum number of vertices
Biplab Basak, Soumen Sarkar
Small covers were introduced by Davis and Januszkiewicz in 1991. We introduce the notion of equilibrium triangulations for small covers. We study equilibrium and vertex minimal $\m…