On Hurwitz numbers and Hodge integrals

Torsten Ekedahl; Sergei Lando; Michael Shapiro; Alek Vainshtein

doi:10.1016/S0764-4442(99)80435-2

On Hurwitz numbers and Hodge integrals

Torsten Ekedahl, Sergei Lando, Michael Shapiro, Alek Vainshtein

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we find an explicit formula for the number of topologically different ramified coverings C → CP¹ (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.

Original language	English
Pages (from-to)	1175-1180
Number of pages	6
Journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	328
Issue number	12
DOIs	https://doi.org/10.1016/S0764-4442(99)80435-2
State	Published - 15 Jun 1999

ASJC Scopus subject areas

General Mathematics

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10.1016/S0764-4442(99)80435-2

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title = "On Hurwitz numbers and Hodge integrals",

abstract = "In this paper we find an explicit formula for the number of topologically different ramified coverings C → CP1 (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.",

author = "Torsten Ekedahl and Sergei Lando and Michael Shapiro and Alek Vainshtein",

year = "1999",

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doi = "10.1016/S0764-4442(99)80435-2",

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T1 - On Hurwitz numbers and Hodge integrals

AU - Ekedahl, Torsten

AU - Lando, Sergei

AU - Shapiro, Michael

AU - Vainshtein, Alek

PY - 1999/6/15

Y1 - 1999/6/15

N2 - In this paper we find an explicit formula for the number of topologically different ramified coverings C → CP1 (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.

AB - In this paper we find an explicit formula for the number of topologically different ramified coverings C → CP1 (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.

UR - https://www.scopus.com/pages/publications/0033563545

U2 - 10.1016/S0764-4442(99)80435-2

DO - 10.1016/S0764-4442(99)80435-2

M3 - Article

AN - SCOPUS:0033563545

SN - 0764-4442

VL - 328

SP - 1175

EP - 1180

JO - Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

JF - Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

IS - 12

ER -

On Hurwitz numbers and Hodge integrals

Abstract

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