Prateep Chakraborty

activity

20132026

most citedOn the cohomology ring and upper characteristic rank of Grassmannian of oriented

3

-planes

11 citations · 20 across the 9 of their papers we have counts for

collaborators

10 papers

math.AT2026

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…

math.GT2023

A structure theorem and left-orderability of a quotient of quasi-isometry group of the real line

Swarup Bhowmik, Prateep Chakraborty

It is well-known that $Q I (R) ≅ (Q I (R_{+}) \times Q I (R_{-})) ⋊ < t >$ , where $Q I (R)$ (resp. $Q I (R_{+}) (≅ Q I (R_{-}))$ ) is t…

math.GT2022

A Combinatorial Criterion and Center for the quasi-isometry groups of Euclidean spaces

Swarup Bhowmik, Prateep Chakraborty

In this study, we introduce the notion of $P L_{δ}$ -homeomorphisms of $R^{n}$ . Furthermore, we provide a combinatorial criterion reliant on the vertices and edges of simplicial…

math.GT2018★ 3 cited

On the center of the group of quasi-isometries of the real line

Prateep Chakraborty

Let $Q I (R)$ denote the group of all quasi-isometries $f : R \to R .$ Let $Q_{+} (and Q_{-})$ denote the subgroup of $Q I (R)$ consisting of elemen…

math.AT2017★ 11 cited

On the cohomology ring and upper characteristic rank of Grassmannian of oriented $3$ -planes

Somnath Basu, Prateep Chakraborty

In this paper we study the mod $2$ cohomology ring of the Grasmannian $G_{n, 3}$ of oriented $3$ -planes in $R^{n}$ . We determine the degrees of the indecomposable…

math.AT2016

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 $2 (n - k)$ , which can occur as the degrees of nonzero Stiefel-Whitney classes of vector bundles over the Stiefel man…

math.AT2015★ 4 cited

Nonexistence of Almost Complex Structures on the product $S^{2 m} \times M$

Prateep Chakraborty, Ajay Singh Thakur

In this note we give a necessary condition for having an almost complex structure on the product $S^{2 m} \times M$ , where $M$ is a connected orientable closed manifold. We show tha…

math.AT2015★ 2 cited

Rational homotopy of maps between certain complex Grassmann manifolds

Prateep Chakraborty, Shreedevi K. Masuti

Let $G_{n, k}$ denote the complex Grassmann manifold of $k$ -dimensional vector subspaces of $C^{n}$ . Assume $l, k \leq ⌊ n /2 ⌋$ . We show that, for sufficiently large…

math.AT2013

Maps between certain complex Grassmann manifolds

Prateep Chakraborty, Parameswaran Sankaran

Let $k, l, m, n$ be positive integers such that $m - l \geq l > k, m - l > n - k \geq k$ and $m - l > 2 k^{2} - k - 1$ . Let $G_{k} (C^{n})$ denote the Grassmann manifold of $k$ -dimensional vector subspa…