Revisiting the Nandakumar-Ramana Rao Conjecture
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918177713160192 |
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| author | Ghosh, Surojit Kumar, Ankit |
| author_facet | Ghosh, Surojit Kumar, Ankit |
| contents | We reprove the generalized Nandakumar-Ramana Rao conjecture for the prime case using representation ring-graded Bredon cohomology. Our approach relies solely on the $RO(C_p)$-graded cohomology of configuration spaces, viewed as a module over the $RO(C_p)$-graded Bredon cohomology of a point. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_25186 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Revisiting the Nandakumar-Ramana Rao Conjecture Ghosh, Surojit Kumar, Ankit Algebraic Topology Combinatorics 55N91, 52A35 We reprove the generalized Nandakumar-Ramana Rao conjecture for the prime case using representation ring-graded Bredon cohomology. Our approach relies solely on the $RO(C_p)$-graded cohomology of configuration spaces, viewed as a module over the $RO(C_p)$-graded Bredon cohomology of a point. |
| title | Revisiting the Nandakumar-Ramana Rao Conjecture |
| topic | Algebraic Topology Combinatorics 55N91, 52A35 |
| url | https://arxiv.org/abs/2510.25186 |