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Some relations for Hurwitz numbers
Stockholm University, Faculty of Science, Department of Mathematics.
2005 (English)In: Functional analysis and its applications, ISSN 0016-2663, E-ISSN 1573-8485, Vol. 39, no 02, 160-162 p.Article in journal (Refereed) Published
Abstract [en]

We obtain new relations for Hurwitz numbers of functions with one polynomial and one arbitrary critical value. (All other critical values are supposed to be simple.) This is a straightforward generalization of our earlier results on Hurwitz numbers of functions with one polynomial critical value.

Place, publisher, year, edition, pages
2005. Vol. 39, no 02, 160-162 p.
Keyword [en]
Hurwitz number - intersection
National Category
URN: urn:nbn:se:su:diva-23317DOI: 10.1007/s10688-005-0032-6OAI: diva2:191345
Part of urn:nbn:se:su:diva-238Available from: 2004-09-10 Created: 2004-09-10 Last updated: 2010-07-08Bibliographically approved
In thesis
1. Intersections on moduli spaces of curves
Open this publication in new window or tab >>Intersections on moduli spaces of curves
2004 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

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.
urn:nbn:se:su:diva-238 (URN)91-7265-933-5 (ISBN)
Public defence
2004-10-01, sal 14, hus 5, Kräftriket, Stockholm, 10:15
Available from: 2004-09-10 Created: 2004-09-10Bibliographically approved

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