6 papers · 1 filter
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…
-graded cohomology of universal spaces and the coefficient ring
Surojit Ghosh, Ankit Kumar
We compute the -graded Bredon cohomology of equivariant universal and classifying spaces associated to families of subgroups, with coefficients in the constant…
Bredon cohomology methods in mass partition problems on spheres
Surojit Ghosh
We apply -graded Bredon cohomology to mass assignment problems, extending classical mass partition methods. Within this framework, we reprove a recent result of Les…
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 -grade…
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…
Homotopy types of diagrams of chain complexes
David Blanc, Surojit Ghosh, Aziz Kharoof
We study the homotopy theory of diagrams of chain complexes over a field indexed by a finite poset, and show that it can be completely described in terms of appropriate diagrams of…