Towards an orbifold generalization of Zvonkine’s 𝑟-ELSV formula

DOI10.1090/tran/7793zbMath1430.14073arXiv1703.06725OpenAlexW3099156478MaRDI QIDQ5234495

Danilo Lewanski, Reinier Kramer, Sergey Shadrin, Alexander Popolitov

Publication date: 26 September 2019

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

Full work available at URL: https://arxiv.org/abs/1703.06725

zbMATH Keywords

spectral curveHurwitz numberstopological recursionBouchard-Marino conjectureELSV formulacorrelation differentialsquasi-polynomiality

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Coverings of curves, fundamental group (14H30) Relationships between algebraic curves and physics (14H81)

Related Items (8)

Tropical jucys covers ⋮ On the Goulden-Jackson-Vakil conjecture for double Hurwitz numbers ⋮ Explicit closed algebraic formulas for Orlov-Scherbin \(n\)-point functions ⋮ Double Hurwitz numbers: polynomiality, topological recursion and intersection theory ⋮ Spectral curves and \(\mathcal{W}\)-representations of matrix models ⋮ Higher Airy structures and topological recursion for singular spectral curves ⋮ Combinatorics of Bousquet-Mélou-Schaeffer numbers in the light of topological recursion ⋮ Special cases of the orbifold version of Zvonkine's \(r\)-ELSV formula

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