Tropical Jucys Covers
Algebraic Geometry
2019-01-03 v3 Mathematical Physics
math.MP
Abstract
We study monotone and strictly monotone Hurwitz numbers from a bosonic Fock space perspective. This yields to an interpretation in terms of tropical geometry involving local multiplicities given by Gromov-Witten invariants. Furthermore, this enables us to prove that a main result of Cavalieri-Johnson-Markwig-Ranganathan is a actually a refinement of the Gromov-Witten/Hurwitz correspondence by Okounkov-Pandharipande.
Keywords
Cite
@article{arxiv.1808.01383,
title = {Tropical Jucys Covers},
author = {Marvin Anas Hahn and Danilo Lewanski},
journal= {arXiv preprint arXiv:1808.01383},
year = {2019}
}
Comments
15 pages, Corrected factor in theorem 4.1