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20212024
most citedThe index of certain Stiefel manifolds

2 citations · 3 across the 6 of their papers we have counts for

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6 papers

math.AT2024

Good objects in the equivariant world

Surojit Ghosh, Bikramjit Kundu

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

math.GT2024

Some Observations on projective Stiefel Manifolds

Bikramjit Kundu, Sudeep Podder

In this note, we compute the upper characteristic rank of the projective Stiefel manifolds over and and the flip Stiefel manifolds. We also pr…

math.AT2023★ 1 cited

-triviality of low dimensional manifolds

Aritra C Bhattacharya, Bikramjit Kundu, Aniruddha C Naolekar

A space is -trivial if for every real vector bundle over the total Stiefel-Whitney class is 1. It follows from a result of Milnor that if is an orientable…

math.AT2022

The index of equidimensional flag manifolds

Samik Basu, Bikramjit Kundu

In this paper, we consider the flag manifold of orthogonal subspaces of equal dimension which carries an action of the cyclic group of order . We provide a complete calculat…

math.AT2021

Some observations on the index of -spaces

Bikramjit Kundu

In this paper, we consider numerical indices associated to spaces with free -action. We prove that the Stiefel manifolds provide an example of non-tidy spaces for , which…

math.AT2021★ 2 cited

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…