Infinite-dimensional topological field theories from Hurwitz numbers

DOI10.1142/S0218216514500333zbMath1303.57024arXiv1212.2041WikidataQ114072914 ScholiaQ114072914MaRDI QIDQ2922964

Sergey M. Natanzon, Andrey E. Mironov, A. Yu. Morozov

Publication date: 15 October 2014

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.2041

zbMATH Keywords

topological field theoriesFrobenius algebrasHurwitz numbers

Mathematics Subject Classification ID

Related Items (4)

Genus expanded cut-and-join operators and generalized Hurwitz numbers ⋮ Matrix model conjecture for exact BS periods and Nekrasov functions ⋮ On framed simple purely real Hurwitz numbers ⋮ Shifted genus expanded W∞ algebra and shifted Hurwitz numbers

Cites Work

• Simple Hurwitz numbers of a disk
• Complete set of cut-and-join operators in the Hurwitz-Kontsevich theory
• Cardy-Frobenius extension of the algebra of cut-and-join operators
• Topological quantum field theories
• 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
• Algebra of differential operators associated with Young diagrams
• Gromov-Witten theory, Hurwitz theory, and completed cycles
• Integrability of Hurwitz partition functions
• Klein surfaces
• 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
• The algebra of conjugacy classes in symmetric groups, and partial permutations

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