Revisiting the Nandakumar-Ramana Rao Conjecture

Abstract

We reprove the generalized Nandakumar-Ramana Rao conjecture for the prime case using representation ring-graded Bredon cohomology. Our approach relies solely on the RO(Cp)-graded cohomology of configuration spaces, viewed as a module over the RO(Cp)-graded Bredon cohomology of a point.

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