S. Sau

activity

20192026

collaborators

8 papers

math.AT2026

Equivariant Homotopy Interleaving and Persistent Whitehead Theorem

Kushal Halder, Subhankar Sau, Debasis Sen

Let $G$ be a finite group. In this article, we develop some results of equivariant persistent homotopy theory for persistent $G$ -spaces. We introduce the notions of $G$ -stable and…

math.AT2026

On Generalized Milnor Manifolds and Their Topological Complexity

Sarjick Bakshi, Manas Mandal, Subhankar Sau

We introduce generalized Milnor manifolds (GMM), extending the classical Milnor manifolds over $R$ , $C$ , and $H$ . We compute their integral cohomology al…

math.AT2025

Parametrized Topological Complexity for a Multi-Robot System with Variable Tasks

Gopal Chandra Dutta, Amit Kumar Paul, Subhankar Sau

We study a generalized motion planning problem involving multiple autonomous robots navigating in a $d$ -dimensional Euclidean space in the presence of a set of obstacles whose posi…

math.AT2024

$S U (2)$ -bundles over highly connected $8$ -manifolds

Samik Basu, Aloke Kr. Ghosh, Subhankar Sau

In this paper, we analyze the possible homotopy types of the total space of a principal $S U (2)$ -bundle over a $3$ -connected $8$ -dimensional Poincaré duality complex. Along the way,…

math.AT2023

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…

math.AT2022

Resolution of singularities of toric orbifolds and equivariant cobordism of contact toric manifolds

Koushik Brahma, Soumen Sarkar, Subhankar Sau

Toric orbifolds are a generalization of simplicial projective toric varieties. In this paper, we show that there is a resolution of singularities of a toric orbifold. In a differen…

math.AT2021

On cohomology of quasitoric manifolds over a vertex cut of a finite product of simplices

Soumen Sarkar, Subhankar Sau

In this paper, we classify the characteristic matrices associated to quasitoric manifolds over a vertex cut of a finite product of simplices. We discuss the integral cohomology rin…

math.AT2019

Blowdown, $k$ -wedge and evenness of quasitoric orbifolds