The action of S_n on the cohomology of M_{0,n}(R)

Details The action of S_n on the cohomology of M_{0,n}(R) The action of S_n on the cohomology of M_{0,n}(R)

2006-01-24

arxiv.org/abs/math/0601573v2

Mathematics

Algebraic Topology

17 pages AMSLaTeX

Scientific paper

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.

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