Jonas Bergström, Satoshi Minabe
Published 2011-11-28, updated 2013-04-26Version 2
We give a recursive algorithm for computing the character of the cohomology of the moduli space $\Mmb_{0,n}$ of stable $n$-pointed genus zero curves as a representation of the symmetric group $\Sg_n$ on $n$ letters. Using the algorithm we can show a formula for the maximum length of this character. Our main tool is connected to the moduli spaces of weighted stable curves introduced by Hassett.
Comments: Version 2: Several small changes. Details added in the proof of Theorem 5.1. Accepted for publication in Mathematische Zeitschrift. 14 pages
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