b-Monotone Hurwitz Numbers: Virasoro Constraints, BKP Hierarchy, andO(N)-BGW Integral

DOI10.1093/imrn/rnac177zbMath1519.05246arXiv2109.01499OpenAlexW3198683050WikidataQ114092306 ScholiaQ114092306MaRDI QIDQ6114760

Maciej Dołęga, Valentin Bonzom, Guillaume Chapuy

Publication date: 15 August 2023

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.01499

zbMATH Keywords

Jack symmetric functionsSchur functionsmonotone Hurwitz numbers

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Symmetric functions and generalizations (05E05) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Relations of low-dimensional topology with graph theory (57M15)

Related Items (5)

Commutators of random matrices from the unitary and orthogonal groups ⋮ Jacobi beta ensemble and \(b\)-Hurwitz numbers ⋮ \(\beta\)-ensembles and higher genera Catalan numbers ⋮ Generating series of non-oriented constellations and marginal sums in the Matching-Jack conjecture ⋮ Enumeration of non-oriented maps via integrability

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