The action of S_n on the cohomology of M_{0,n}(R)
| dc.creator | Rains, Eric M. | |
| dc.date | 2006-01-24 | |
| dc.date | 2006-06-14 | |
| dc.date.accessioned | 2026-07-07T06:59:13Z | |
| dc.date.available | 2026-07-07T06:59:13Z | |
| dc.description | In recent work (math/0507514) by Etingof, Henriques, Kamnitzer, and the author, a presentation and explicit basis was given for the rational cohomology of the real locus $\bar{M_{0,n}}(\RR)$ of the moduli space of stable genus 0 curves with $n$ marked points. We determine the graded character of the action of $S_n$ on this space (induced by permutations of the marked points), both in the form of a plethystic formula for the cycle index, and as an explicit product formula for the value of the character on a given cycle type. | |
| dc.description | 17 pages AMSLaTeX | |
| dc.identifier | https://arxiv.org/abs/math/0601573 | |
| dc.identifier | http://arxiv.org/abs/math/0601573 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107670 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Combinatorics | |
| dc.title | The action of S_n on the cohomology of M_{0,n}(R) | |
| dc.type | text |