Simple Hurwitz numbers of a disk

DOI10.1007/s10688-010-0004-3zbMath1271.14083OpenAlexW2005550569MaRDI QIDQ366230

Sergey M. Natanzon

Publication date: 12 September 2013

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-010-0004-3

zbMATH Keywords

topological field theoryHurwitz numberscut-and-join equation

Mathematics Subject Classification ID

Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Coverings of curves, fundamental group (14H30) Low-dimensional topology of special (e.g., branched) coverings (57M12)

Related Items (10)

Infinite-dimensional topological field theories from Hurwitz numbers ⋮ BKP and projective Hurwitz numbers ⋮ Cardy-Frobenius extension of the algebra of cut-and-join operators ⋮ From Hurwitz numbers to Feynman diagrams: counting rooted trees in log gravity ⋮ Ribbon decomposition and twisted Hurwitz numbers ⋮ Algebra of differential operators associated with Young diagrams ⋮ Hurwitz numbers from Feynman diagrams ⋮ On framed simple purely real Hurwitz numbers ⋮ Hurwitz numbers and products of random matrices ⋮ Integrability properties of Hurwitz partition functions. II. Multiplication of cut-and-join operators and WDVV equations

Cites Work

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• Noncommutative two-dimensional topological field theories and Hurwitz numbers for real algebraic curves
• The number of ramified coverings of the sphere by the torus and surfaces of higher genera
• Transfer and ramified coverings
• Klein surfaces
• An algebro-geometric proof of Witten’s conjecture
• Ramified coverings, orbit projections and symmetric powers

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