# 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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