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, D., Karev, M., Lewanski, D.. - In: INTERNATIONAL MATHEMATICS RESEARCH NOTICES. - ISSN 1073-7928. - 2025:22(2025), pp. rnaf327."-"-rnaf327."-". [10.1093/imrn/rnaf327]
Completed Cycles Leaky Hurwitz Numbers
Davide Accadia
Primo
;Danilo LewanskiUltimo
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 | Dimensione | Formato | |
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