120 citations · 343 across the 55 of their papers we have counts for
4 papers · 1 filter
Counts of (tropical) curves in and Feynman integrals
Janko Böhm, Christoph Goldner, Hannah Markwig
We study generating series of Gromov-Witten invariants of and their tropical counterparts. Using tropical degeneration and floor diagram techniques, we can ex…
Tropical Mirror Symmetry in Dimension One
Janko Böhm, Christoph Goldner, Hannah Markwig
We prove a tropical mirror symmetry theorem for descendant Gromov-Witten invariants of the elliptic curve, generalizing the tropical mirror symmetry theorem for Hurwitz numbers of…
Tropicalized quartics and canonical embeddings for tropical curves of genus 3
Marvin Anas Hahn, Hannah Markwig, Yue Ren +1
Brodsky, Joswig, Morrison and Sturmfels showed that not all abstract tropical curves of genus can be realized as a tropicalization of a quartic in the euclidean plane. In this…
Tropical geometry of genus two curves
Maria Angelica Cueto, Hannah Markwig
We exploit three classical characterizations of smooth genus two curves to study their tropical and analytic counterparts. First, we provide a combinatorial rule to determine the d…