Intersections on moduli spaces of curves
2004 (English)Doctoral thesis, comprehensive summary (Other academic)
We present a new approach to perform calculations with the certain standard classes in cohomology of the moduli spaces of curves. It is based on an important lemma of Ionel relating the intersection theoriy of the moduli space of curves and that of the space of admissible coverings. As particular results, we obtain expressions of Hurwitz numbers in terms of the intersections in the tautological ring, expressions of the simplest intersection numbers in terms of Hurwitz numbers, an algorithm of calculation of certain correlators which are the subject of the Witten conjecture, an improved algorithm for intersections related to the Boussinesq hierarchy, expressions for the Hodge integrals over two-pointed ramification cycles, cut-and-join type equations for a large class of intersection numbers, etc.
Place, publisher, year, edition, pages
Stockholm: Matematiska institutionen , 2004. , 3 p.
IdentifiersURN: urn:nbn:se:su:diva-238ISBN: 91-7265-933-5OAI: oai:DiVA.org:su-238DiVA: diva2:191347
2004-10-01, sal 14, hus 5, Kräftriket, Stockholm, 10:15
Faber, Carel, Prof.
Ekedahl, Torsten, Prof
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