Descendent Tropical Mirror Symmetry for ${\mathbb{P}}^2$

Abstract

We modify Gross's construction of mirror symmetry for ${\mathbb{P}}^2$ by introducing a descendent tropical Landau-Ginzburg potential. The period integrals of this potential compute a modification of Givental's J-function, explicitly encoding a larger sector of the big phase space. As a byproduct of this construction, new tropical methods for computing certain descendent Gromov-Witten invariants are defined.

44 pages

References in corpus (1)

• Mirror symmetry and T-duality in the complement of an anticanonical divisor