{ "id": "1111.6438", "version": "v2", "published": "2011-11-28T13:29:39.000Z", "updated": "2013-04-26T13:10:45.000Z", "title": "On the cohomology of moduli spaces of (weighted) stable rational curves", "authors": [ "Jonas Bergström", "Satoshi Minabe" ], "comment": "Version 2: Several small changes. Details added in the proof of Theorem 5.1. Accepted for publication in Mathematische Zeitschrift. 14 pages", "categories": [ "math.AG" ], "abstract": "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.", "revisions": [ { "version": "v2", "updated": "2013-04-26T13:10:45.000Z" } ], "analyses": { "subjects": [ "14H10", "14M25" ], "keywords": [ "moduli space", "stable rational curves", "cohomology", "pointed genus zero curves", "main tool" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1111.6438B" } } }