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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