activity
20102023
most citedHomotopy groups and periodic geodesics of closed 4-manifolds

13 citations · 38 across the 28 of their papers we have counts for

collaborators

35 papers

math.AT2023

A Study of topology of the Flip Stiefel Manifolds

Samik Basu, Safikaa Fathima, Shilpa Gondhali

A well known quotient of the real Stiefel manifold is the projective Stiefel manifold. We introduce a new family of quotients of the real Stiefel manifold by cyclic group of order…

cs.AI2023

Representing and Reasoning with Multi-Stakeholder Qualitative Preference Queries

Samik Basu, Vasant Honavar, Ganesh Ram Santhanam +1

Many decision-making scenarios, e.g., public policy, healthcare, business, and disaster response, require accommodating the preferences of multiple stakeholders. We offer the first…

math.AT2023★ 1 cited

The algebra of higher homotopy operations

Samik Basu, David Blanc, Debasis Sen

We explain how the simplicial higher-order unstable homotopy operations defined in [BBS2] may be composed and inserted one in another, thus forming a coherent if complicated algebr…

math.AT2023

Equivariant Cohomology of Projective Spaces

Samik Basu, Pinka Dey, Aparajita Karmakar

We compute the equivariant homology and cohomology of projective spaces with integer coefficients. More precisely, in the case of cyclic groups, we show that the cellular filtratio…

math.AT2023

Smooth structures on PL-manifolds of dimensions between 8 and 10

Samik Basu, Ramesh Kasilingam, Priyanka Magar-Sawant

In this paper, we identify the concordance classes of smooth structures on -manifolds of dimension between and in terms of the cohomology and Steenrod operations. This…

math.AT2022

-local decompositions of projective Stiefel manifolds

Samik Basu, Debanil Dasgupta, Shilpa Gondhali +1

The main objective of this paper is to analyze the -local homotopy type of the complex projective Stiefel manifolds, and other analogous quotients of Stiefel manifolds. We take…