Tropical refined curve counting from higher genera and lambda classes

Abstract

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.

70 pages, revised version, identical to the one published in Inven. Math

Cited by in corpus (17)

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