S. Sau

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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 PoincarÃ© duality complex. Along the way…

On Generalized Milnor Manifolds and Their Topological Complexity

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

SU(2)-bundles over highly connected 8-manifolds

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