English

Revisiting the Nandakumar-Ramana Rao Conjecture

Algebraic Topology 2025-10-30 v1 Combinatorics

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)RO(C_p)-graded cohomology of configuration spaces, viewed as a module over the RO(Cp)RO(C_p)-graded Bredon cohomology of a point.

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Cite

@article{arxiv.2510.25186,
  title  = {Revisiting the Nandakumar-Ramana Rao Conjecture},
  author = {Surojit Ghosh and Ankit Kumar},
  journal= {arXiv preprint arXiv:2510.25186},
  year   = {2025}
}

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