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arXiv · 1706.07762

Tropical refined curve counting from higher genera and lambda classes

Pierrick Bousseau
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Abstract

Block and G\"ottsche 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-G\"ottsche invariants and makes their deformation invariance manifest.

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Pierrick Bousseau. 2017-06-23. Tropical refined curve counting from higher genera and lambda classes. https://doi.org/10.1007/s00222-018-0823-z

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