A square root of Hurwitz numbers

DOI10.1007/s00229-019-01113-0zbMath1439.14117arXiv1807.03631OpenAlexW2963679174MaRDI QIDQ2309420

Yanyan Li

Publication date: 1 April 2020

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.03631

zbMATH Keywords

generating functionssymmetric functionssquare rootHurwitz numbersoperator formalismspin curve

Mathematics Subject Classification ID

Relationships between algebraic curves and integrable systems (14H70) Low-dimensional topology of special (e.g., branched) coverings (57M12) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

Related Items (9)

On modified \(B\)KP systems and generalizations ⋮ Connected (n,m)-point functions of diagonal 2-BKP tau-functions and spin double Hurwitz numbers ⋮ A new solvable two-matrix model and the BKP tau function ⋮ Elements of spin Hurwitz theory: closed algebraic formulas, blobbed topological recursion, and a proof of the Giacchetto-Kramer-Lewański conjecture ⋮ Kac-Schwarz operators of type \(B\), quantum spectral curves, and spin Hurwitz numbers ⋮ Around spin Hurwitz numbers ⋮ Extensions on two-component BKP and D type Drinfeld-Sokolov hierarchies ⋮ Notes about the KP/BKP correspondence ⋮ Generalized Brézin-Gross-Witten tau-function as a hypergeometric solution of the BKP hierarchy

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