Surojit Ghosh

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math.AT2026

Purity of quaternionic conjugation spaces

Surojit Ghosh, Ankit Kumar, Lakshit Pande

Conjugation spaces relate the cohomology of a space and its fixed points via a degree-halving isomorphism and admit a characterization in terms of homological purity. We extend thi…

math.AT2026

$R O (C_{p} \times C_{p})$ -graded cohomology of universal spaces and the coefficient ring

Surojit Ghosh, Ankit Kumar

We compute the $R O (C_{p} \times C_{p})$ -graded Bredon cohomology of equivariant universal and classifying spaces associated to families of subgroups, with coefficients in the constant…

math.AT2026

Bredon cohomology methods in mass partition problems on spheres

Surojit Ghosh

We apply $RO (G)$ -graded Bredon cohomology to mass assignment problems, extending classical mass partition methods. Within this framework, we reprove a recent result of Les…

math.AT2025

Revisiting the Nandakumar-Ramana Rao Conjecture

Surojit Ghosh, Ankit Kumar

We reprove the generalized Nandakumar-Ramana Rao conjecture for the prime case using representation ring-graded Bredon cohomology. Our approach relies solely on the $R O (C_{p})$ -grade…

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…

Purity of quaternionic conjugation spaces

RO(Cp​×Cp​)-graded cohomology of universal spaces and the coefficient ring

Bredon cohomology methods in mass partition problems on spheres

Revisiting the Nandakumar-Ramana Rao Conjecture

Good objects in the equivariant world

$R O (C_{p} \times C_{p})$ -graded cohomology of universal spaces and the coefficient ring