# Tropical refined curve counting from higher genera and lambda classes

@article{Bousseau2019TropicalRC, title={Tropical refined curve counting from higher genera and lambda classes}, author={Pierrick Bousseau}, journal={Inventiones Mathematicae}, year={2019}, volume={215}, pages={1 - 79} }

Block and Göttsche have defined a q-number refinement of counts of tropical curves in $$\mathbb {R}^2$$R2. Under the change of variables $$q=e^{iu}$$q=eiu, 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.

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