Corpus ID: 85543136

Fano mirror periods from the Frobenius structure conjecture

@article{Mandel2019FanoMP,
  title={Fano mirror periods from the Frobenius structure conjecture},
  author={Travis Mandel},
  journal={arXiv: Algebraic Geometry},
  year={2019}
}
  • Travis Mandel
  • Published 2019
  • Mathematics
  • arXiv: Algebraic Geometry
  • The Fano classification program proposed by Coates-Corti-Galkin-Golyshev-Kasprzyk is based on the mirror symmetry prediction that the regularized quantum period of a Fano should be equivalent to the classical period of its mirror Landau-Ginzburg potential. We prove that this mirror equivalence follows from versions of the Frobenius structure conjecture of Gross-Hacking-Keel. We also find that the regularized quantum period, which is defined in terms of descendant Gromov-Witten numbers, is in… CONTINUE READING
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