Tropical refined curve counting from higher genera and lambda classes
Pierrick Bousseau · Inventiones mathematicae · 2018
Block and Göttsche have defined a q-number refinement of counts of tropical curves in $$\mathbb {R}^2$$ . Under the change of variables $$q=e^{iu}$$ , we show that the result is a generating series of higher genus log Gromov–Witten invariants with insertion of a lambda class. This gives a geometric interpretation of the Block-Göttsche invariants and makes their deformation invariance manifest.