Cardy-Frobenius extension of the algebra of cut-and-join operators

DOI10.1016/j.geomphys.2013.06.007zbMath1280.81110arXiv1210.6955OpenAlexW2027493238WikidataQ112881134 ScholiaQ112881134MaRDI QIDQ390972

A. Yu. Morozov, Sergey M. Natanzon, Andrei Mironov

Publication date: 9 January 2014

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.6955

zbMATH Keywords

Hurwitz theoryCardy-Frobenius algebraopen-closed topological theory

Mathematics Subject Classification ID

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (3)

Infinite-dimensional topological field theories from Hurwitz numbers ⋮ On matrix-model approach to simplified Khovanov-Rozansky calculus ⋮ On framed simple purely real Hurwitz numbers

Cites Work

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• Complete set of cut-and-join operators in the Hurwitz-Kontsevich theory
• Klein topological field theories from group representations
• Topological quantum field theories
• Noncommutative two-dimensional topological field theories and Hurwitz numbers for real algebraic curves
• Integrability properties of Hurwitz partition functions. II. Multiplication of cut-and-join operators and WDVV equations
• Algebra of differential operators associated with Young diagrams
• Integrability of Hurwitz partition functions
• Hurwitz numbers for regular coverings of surfaces by seamed surfaces and Cardy-Frobenius algebras of finite groups
• Algebra of Hurwitz numbers for seamed surfaces
• The algebra of bipartite graphs and Hurwitz numbers of seamed surfaces
• On the structure of open-closed topological field theory in two dimensions

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