Structure of the algebra of transition types, and the cut-and-join operator

DOI10.1090/SPMJ/1832MaRDI QIDQ6654005

E. S. Krasil'nikov

Publication date: 18 December 2024

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

representations of symmetric groupscut-and-join operatorreal Hurwitz numbers

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Representations of finite symmetric groups (20C30) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Real algebraic and real-analytic geometry (14P99) Critical points of functions and mappings on manifolds (58K05)

Cites Work

• Title not available (Why is that?)
• Simple Hurwitz numbers of a disk
• An explicit model for the complex representations of \(S_ n\)
• Graphs on surfaces and their applications. Appendix by Don B. Zagier
• On Riemann surfaces with monogenic transformations into themselves.
• Toda equations for Hurwitz numbers
• Hurwitz numbers and intersections on moduli spaces of curves.
• Hurwitz numbers for real polynomials
• Combinatorial solutions to integrable hierarchies
• Transitive factorisations into transpositions and holomorphic mappings on the sphere

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