Samik Basu

collaborators

2 papers

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

Sphere fibrations over highly connected manifolds

Samik Basu, Aloke Kr. Ghosh

We construct sphere fibrations over $(n - 1)$ -connected $2 n$ -manifolds such that the total space is a connected sum of sphere products. More precisely, for $n$ even, we construct fib…

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

Sphere fibrations over highly connected manifolds

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