19 citations · 35 across the 4 of their papers we have counts for
7 papers
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…
The j-invariant of a plane tropical cubic
Eric Katz, Hannah Markwig, Thomas Markwig
Several results in tropical geometry have related the j-invariant of an algebraic plane curve of genus one to the cycle length of a tropical curve of genus one. In this paper, we p…
Intersecting Psi-classes on tropical M_{0,n}
Michael Kerber, Hannah Markwig
We apply the tropical intersection theory developed by L. Allermann and J. Rau to compute intersection products of tropical Psi-classes on the moduli space of rational tropical cur…
An algorithm for lifting points in a tropical variety
Anders Nedergaard Jensen, Hannah Markwig, Thomas Markwig
The aim of this paper is to give a constructive proof of one of the basic theorems of tropical geometry: given a point on a tropical variety (defined using initial ideals), there e…
Kontsevich's formula and the WDVV equations in tropical geometry
Andreas Gathmann, Hannah Markwig
Using Gromov-Witten theory the numbers of complex plane rational curves of degree d through 3d-1 general given points can be computed recursively with Kontsevich's formula that fol…
The Caporaso-Harris formula and plane relative Gromov-Witten invariants in tropical geometry
Andreas Gathmann, Hannah Markwig
Some years ago Caporaso and Harris have found a nice way to compute the numbers N(d,g) of complex plane curves of degree d and genus g through 3d+g-1 general points with the help o…