120 citations · 343 across the 55 of their papers we have counts for
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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…
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…
The tropical -invariant
Eric Katz, Hannah Markwig, Thomas Markwig
If (Q,A) is a marked polygon with one interior point, then a general polynomial f in K[x,y] with support A defines an elliptic curve C on the toric surface X_A. If K has a non-arch…
The space of tropically collinear points is shellable
Hannah Markwig, Josephine Yu
The space T_{d,n} of n tropically collinear points in a fixed tropical projective space TP^{d-1} is equivalent to the tropicalization of the determinantal variety of matrices of ra…