English

Refined elliptic tropical invariants of toric surfaces

Algebraic Geometry 2017-01-03 v4

Abstract

F. Block and L. G\"ottsche introduced refined tropical invariants of toric surfaces that intertwine tropical Gromov-Witten and Welschinger invariants of toric surfaces. L. G\"ottsche 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.

Keywords

Cite

@article{arxiv.1604.04040,
  title  = {Refined elliptic tropical invariants of toric surfaces},
  author = {Franziska Schroeter and Eugenii Shustin},
  journal= {arXiv preprint arXiv:1604.04040},
  year   = {2017}
}

Comments

Several changed to keep consistency with arXiv:1606.09631; the new invariant is proven to be always a Laurent polynomial