9 citations · 28 across the 19 of their papers we have counts for
10 papers · 1 filter
Tropicalising hypergeometric -functions
Marvin Anas Hahn, Brian O'Callaghan, Jonas Wahl
Weighted Hurwitz numbers arise as coefficients in the power sum expansion of deformed hypergeometric --functions. They specialise to essentially all known cases of Hurwitz numbe…
A refined twist on Hurwitz numbers
Raphaël Fesler, Marvin Anas Hahn, Maksim Karev +1
We introduce a two-parameter refinement of the Jucys-Murphy theory, that we call the CJT-refinement, unifying Schur, zonal, and, conjecturally, Jack actions of the ring of symmetri…
Tropical twisted Hurwitz numbers for elliptic curves
Marvin Anas Hahn, Hannah Markwig
Hurwitz numbers enumerate branched morphisms between Riemann surfaces. For a fixed elliptic target, Hurwitz numbers are intimately related to mirror symmetry following work of Dijk…
Combinatorics of pruned Hurwitz numbers
Sean Gearoid Fitzgerald, Marvin Anas Hahn, Síofra Kelly
Hurwitz numbers enumerate branched morphisms between Riemannn surfaces with fixed numerical data. They represent important objects in enumerative geometry that are accessible by co…
Twisted Hurwitz numbers: Tropical and polynomial structures
Marvin Anas Hahn, Hannah Markwig
Hurwitz numbers count covers of curves satisfying fixed ramification data. Via monodromy representation, this counting problem can be transformed to a problem of counting factoriza…
Orders and Polytropes: Matrix Algebras from Valuations
Yassine El Maazouz, Marvin Anas Hahn, Gabriele Nebe +2
We apply tropical geometry to study matrix algebras over a field with valuation. Using the shapes of min-max convexity, known as polytropes, we revisit the graduated orders introdu…
Intersection numbers on tropical Hassett spaces
Marvin Anas Hahn, Shiyue Li
We study the intersection of tropical psi-classes on tropical heavy/light Hassett spaces, generalising a result of Kerber--Markwig for tropical moduli spaces of rational stable cur…
Bi-pruned Hurwitz numbers
Marvin Anas Hahn
Hurwitz numbers enumerate ramified coverings of the Riemann sphere with fixed ramification data. Certain kinds of ramification data are of particular interest, such as double Hurwi…
A monodromy graph approach to the piecewise polynomiality of simple, monotone and Grothendieck dessins d'enfants double Hurwitz numbers
Marvin Anas Hahn
Hurwitz numbers count genus , degree covers of the complex projective line with fixed branched locus and fixed ramification data. An equivalent description is given by facto…
Pruned double Hurwitz numbers
Marvin Anas Hahn
Hurwitz numbers count ramified genus , degree coverings of the projective line with with fixed branch locus and fixed ramification data. Double Hurwitz numbers count such co…