A short proof of the λg -conjecture without Gromov-Witten theory: Hurwitz theory and the moduli of curves

DOI10.1515/CRELLE.2009.094zbMath1205.14068arXivmath/0604297WikidataQ123277721 ScholiaQ123277721MaRDI QIDQ3404374

David M. Jackson, Ravi Vakil, Ian P. Goulden

Publication date: 9 February 2010

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0604297

zbMATH Keywords

Hurwitz numbersmoduli spaces of curves\(\lambda_g\)-conjecture

Mathematics Subject Classification ID

Related Items (11)

Hurwitz theory and the double ramification cycle ⋮ From Hurwitz numbers to Feynman diagrams: counting rooted trees in log gravity ⋮ Wreath Hurwitz numbers, colored cut-and-join equations, and 2-Toda hierarchy ⋮ Hurwitz-Hodge integral identities from the cut-and-join equation ⋮ Hodge integrals with one \(\lambda \)-class ⋮ Evaluating tautological classes using only Hurwitz numbers ⋮ The moduli space of curves, double Hurwitz numbers, and Faber's intersection number conjecture ⋮ The Laplace transform of the cut-and-join equation and the Bouchard-Mariño conjecture on Hurwitz numbers ⋮ KP hierarchy for Hodge integrals ⋮ On the recursion formula for double Hurwitz numbers ⋮ Polynomiality of Hurwitz numbers, Bouchard-Mariño conjecture, and a new proof of the ELSV formula

Cites Work

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• Changes of variables in ELSV-type formulas
• Towards the geometry of double Hurwitz numbers
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• An algebro-geometric proof of Witten’s conjecture
• Transitive factorisations into transpositions and holomorphic mappings on the sphere

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