Abstract

We introduce the enumerative geometry of (C*)^2 and connect it with intersection numbers against the higher rank double ramification cycle. A certain all genus generating function of these enumerative/virtual invariants with top lambda class insertion can be explicitly calculated using a refined tropical correspondence theorem (joint work with Patrick Kennedy-Hunt and Qaasim Shafi). This generalizes the refined tropical correspondence theorem of Pierrick Bousseau. We will report on joint work in progress with Dylan Toh on a tropical correspondence theorem in genus 1 without a top lambda class insertion.