{ "id": "math/0702238", "version": "v2", "published": "2007-02-09T00:07:07.000Z", "updated": "2008-09-28T22:16:52.000Z", "title": "On unipotent flows in H(1,1)", "authors": [ "Kariane Calta", "Kevin Wortman" ], "comment": "23 pages", "categories": [ "math.DS" ], "abstract": "We study the action of the horocycle flow on the moduli space of abelian differentials in genus two. In particular, we exhibit a classification of a specific class of probability measures that are invariant and ergodic under the horocycle flow on the stratum H(1,1).", "revisions": [ { "version": "v2", "updated": "2008-09-28T22:16:52.000Z" } ], "analyses": { "keywords": [ "unipotent flows", "horocycle flow", "moduli space", "abelian differentials", "specific class" ], "note": { "typesetting": "TeX", "pages": 23, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007math......2238C" } } }