B. Kundu

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math.AT2025

Good objects in the equivariant world

Surojit Ghosh, Bikramjit Kundu

This article explores equivariant localization in the category of $G$ -spaces, where $G$ is a compact Lie group. We establish a commutation rule for the localization functor and the…

math.AT2024

The index of certain Stiefel manifolds

Samik Basu, Bikramjit Kundu

This paper computes the Fadell-Husseini index of Stiefel manifolds in the case where the group acts via permutations of the orthogonal vectors. The computations are carried out in…

math.AT2024

$W$ -triviality of low dimensional manifolds

Aritra C Bhattacharya, Bikramjit Kundu, Aniruddha C Naolekar

A space $X$ is $W$ -trivial if for every real vector bundle $I^\pm$ over $X$ the total Stiefel-Whitney class $w (I^\pm)$ is 1. It follows from a result of Milnor that if $X$ is an orientab…

Good objects in the equivariant world

The index of certain Stiefel manifolds

W-triviality of low dimensional manifolds

$W$ -triviality of low dimensional manifolds