Refined elliptic tropical invariants of toric surfaces
arXiv:1604.04040
Abstract
F. Block and L. Göttsche introduced refined tropical invariants of toric surfaces that intertwine tropical Gromov-Witten and Welschinger invariants of toric surfaces. L. Göttsche and the first author introduced refined broccoli invariants that intertwine some genus zero descendant tropical invariants and broccoli invariants of toric surfaces. In this note, we extend the refined broccoli invariants to the genus one case.
Several changed to keep consistency with arXiv:1606.09631; the new invariant is proven to be always a Laurent polynomial