7 papers
Some monochromatic patterns in natural numbers
Arpita Ghosh, Surojit Ghosh
The set of sums of two squares plays a significant role in elementary number theory. In this article, we establish the existence of several rich monochromatic configurations in the…
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…
Minimal generating sets of transfer systems for more non-Abelian Groups
Bheemarasetty Chakravarthy, Surojit Ghosh
For a finite group , operads encode collections of norm maps, and by work of Blumberg--Hill and Rubin their homotopy category is equivalent to the poset of --trans…
-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…