منابع مشابه
Generating Functions for Hurwitz-Hodge Integrals
In this paper we describe explicit generating functions for a large class of Hurwitz-Hodge integrals. These are integrals of tautological classes on moduli spaces of admissible covers, a (stackily) smooth compactification of the Hurwitz schemes. Admissible covers and their tautological classes are interesting mathematical objects on their own, but recently they have proved to be a useful tool f...
متن کاملOn Hodge Integrals and Hurwitz Numbers
∗ Dept. of Math., University of Stockholm, S-10691, Stockholm, [email protected] † Higher College of Math., Independent University of Moscow, and Institute for System Research RAS, [email protected] ‡ Department of Mathematics, Royal Institute of Technology, S-10044, Stockholm, [email protected] ♮ Dept. of Math. and Dept. of Computer Science, University of Haifa, Haifa 31905, [email protected]...
متن کاملOn Hurwitz Numbers and Hodge Integrals
In this paper we find an explicit formula for the number of topologically different ramified coverings C → CP 1 (C is a compact Riemann surface of genus g) with only one complicated branching point in terms of Hodge integrals over the moduli space of genus g curves with marked points.
متن کاملOn Computations of Hurwitz-hodge Integrals
We describe a method to compute Hurwitz-Hodge integrals.
متن کاملHodge Integrals, Hurwitz Numbers, and Symmetric Groups
Abstract. We prove some combinatorial results related to a formula on Hodge integrals conjectured by Mariño and Vafa. These results play important roles in the proof and applications of this formula by the author jointly with ChiuChu Melissa Liu and Kefeng Liu. We also compare with some related results on Hurwitz numbers and obtain some closed expressions for the generating series of Hurwitz nu...
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ژورنال
عنوان ژورنال: Michigan Mathematical Journal
سال: 2011
ISSN: 0026-2285
DOI: 10.1307/mmj/1301586310