11 citations · 20 across the 9 of their papers we have counts for
7 papers · 1 filter
On Projective and Flat Persistence Modules
Prateep Chakraborty, Giriraj Ghosh
In recent years, persistence modules have been viewed as graded modules with gradation over a preordered set serving as the indexing set. We provide sufficient criteria for a proje…
On the cohomology ring and upper characteristic rank of Grassmannian of oriented -planes
Somnath Basu, Prateep Chakraborty
In this paper we study the mod cohomology ring of the Grasmannian of oriented -planes in . We determine the degrees of the indecomposable…
On Stiefel-Whitney classes of vector bundles over real Stiefel Manifolds
Prateep Chakraborty, Ajay Singh Thakur
In this article we show that there are at most two integers up to , which can occur as the degrees of nonzero Stiefel-Whitney classes of vector bundles over the Stiefel man…
Nonexistence of Almost Complex Structures on the product
Prateep Chakraborty, Ajay Singh Thakur
In this note we give a necessary condition for having an almost complex structure on the product , where is a connected orientable closed manifold. We show tha…
Rational homotopy of maps between certain complex Grassmann manifolds
Prateep Chakraborty, Shreedevi K. Masuti
Let denote the complex Grassmann manifold of -dimensional vector subspaces of . Assume . We show that, for sufficiently large…
Maps between certain complex Grassmann manifolds
Prateep Chakraborty, Parameswaran Sankaran
Let be positive integers such that and . Let denote the Grassmann manifold of -dimensional vector subspa…
Formality of certain CW complexes
Prateep Chakraborty, Parameswaran Sankaran
Let be a simply connected path connected topological space which is formal in the sense of rational homotopy theory. Let where $α:\mathbb{S}^{n-1}\to…