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

Algebraic Geometry 2015-04-24 v1

Abstract

We modify Gross's construction of mirror symmetry for P2\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.

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Cite

@article{arxiv.1504.06138,
  title  = {Descendent Tropical Mirror Symmetry for $\mathbb{P}^2$},
  author = {D. Peter Overholser},
  journal= {arXiv preprint arXiv:1504.06138},
  year   = {2015}
}

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44 pages