On the recursion formula for double Hurwitz numbers

DOI10.1090/S0002-9939-2012-11235-3zbMath1278.14039MaRDI QIDQ2846729

ShengMao Zhu

Publication date: 3 September 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

recursionmoduli space of curvesHurwitz numberscut-join

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Families, moduli of curves (algebraic) (14H10)

Related Items (3)

Double Hurwitz numbers: polynomiality, topological recursion and intersection theory ⋮ Hurwitz-Hodge integral identities from the cut-and-join equation ⋮ Towards the topological recursion for double Hurwitz numbers

Cites Work

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• Polynomial recursion formula for linear Hodge integrals
• A proof of the Faber intersection number conjecture
• Localization, Hurwitz numbers and the Witten conjecture
• Hodge integrals, partition matrices, and the \(\lambda_g\) conjecture
• Virasoro constraints and the Chern classes of the Hodge bundle
• Hurwitz numbers and intersections on moduli spaces of curves.
• Towards the geometry of double Hurwitz numbers
• A short proof of the λg -conjecture without Gromov-Witten theory: Hurwitz theory and the moduli of curves
• An algebro-geometric proof of Witten’s conjecture
• New results of intersection numbers on moduli spaces of curves
• Transitive factorisations into transpositions and holomorphic mappings on the sphere
• The number of ramified covering of a Riemann surface by Riemann surface
• Logarithmic series and Hodge integrals in the tautological ring. With an appendix by Don Zagier.

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