  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.

Algebraic Topology;Combinatorics