Tropical Jucys covers

Abstract We study monotone and strictly 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 prove that main result Cavalieri-Johnson-Markwig-Ranganathan is actually equivalent the Gromov-Witten/Hurwitz correspondence Okounkov-Pandharipande for equivariant Riemann sphere.