From r-spin intersection numbers to Hodge integrals
نویسندگان
چکیده
منابع مشابه
On 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.
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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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∗ 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]...
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Ekedahl, Lando, Shapiro, and Vainshtein announced a remarkable formula ([ELSV]) expressing Hurwitz numbers (counting covers of P with specified simple branch points, and specified branching over one other point) in terms of Hodge integrals. We give a proof of this formula using virtual localization on the moduli space of stable maps, and describe how the proof could be simplified by the proper ...
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Given a variation of Hodge structure over P with Hodge numbers (1, 1, . . . , 1), we show how to compute the degrees of the Deligne extension of its Hodge bundles, following Eskin–Kontsevich–Möller–Zorich, by using the local exponents of the corresponding Picard– Fuchs equation. This allows us to compute the Hodge numbers of Zucker’s Hodge structure on the corresponding parabolic cohomology gro...
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2016
ISSN: 1029-8479
DOI: 10.1007/jhep01(2016)015