We introduce (r + 1)-completed cycles k-leaky Hurwitz numbers and prove piecewise polynomiality as well as establishing their chamber polynomiality structure and their wall crossing formulae. For k = 0 the results recover previous results of Shadrin–Spitz–Zvonkine. The specialization for r = 1 recovers Hurwitz numbers that are close to the ones studied by Cavalieri–Markwig–Ranganathan and Cavalieri– Markwig–Schmitt.
Completed Cycles Leaky Hurwitz Numbers / Accadia, Davide; Karev, Maksim; Lewanski, Danilo. - In: INTERNATIONAL MATHEMATICS RESEARCH NOTICES. - ISSN 1073-7928. - Volume 2025:Issue 22(2025), pp. 1-24. [10.1093/imrn/rnaf327]
Completed Cycles Leaky Hurwitz Numbers
Davide Accadia
;Danilo Lewanski
2025-01-01
Abstract
We introduce (r + 1)-completed cycles k-leaky Hurwitz numbers and prove piecewise polynomiality as well as establishing their chamber polynomiality structure and their wall crossing formulae. For k = 0 the results recover previous results of Shadrin–Spitz–Zvonkine. The specialization for r = 1 recovers Hurwitz numbers that are close to the ones studied by Cavalieri–Markwig–Ranganathan and Cavalieri– Markwig–Schmitt.File in questo prodotto:
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