Wall-crossing formulae and strong piecewise polynomiality for mixed Grothendieck dessins d'enfant, monotone, and double simple Hurwitz numbers

DOI10.1016/j.aim.2018.07.028OpenAlexW2963171218MaRDI QIDQ1790250

Marvin Anas Hahn, Reinier Kramer, Danilo Lewanski

Publication date: 2 October 2018

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.01047

Mathematics Subject Classification ID

Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Coverings of curves, fundamental group (14H30) Low-dimensional topology of special (e.g., branched) coverings (57M12) Arithmetic aspects of dessins d'enfants, Bely? theory (11G32) Dessins d'enfants theory (14H57)

Related Items (7)

Tropical jucys covers ⋮ Triply mixed coverings of arbitrary base curves: quasimodularity, quantum curves and a mysterious topological recursion ⋮ Topological recursion for monotone orbifold Hurwitz numbers: a proof of the Do-Karev conjecture ⋮ Quantum statistical mechanics of the absolute Galois group ⋮ Wall-crossing and recursion formulae for tropical Jucys covers ⋮ Asymptotics for real monotone double Hurwitz numbers ⋮ A monodromy graph approach to the piecewise polynomiality of simple, monotone and Grothendieck dessins d'enfants double Hurwitz numbers

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