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math.AGOct 1, 2000
42
citations (OpenAlex)
authors
  • S. Barannikov
institutions
  • École Normale Supérieure - PSL
arXiv abstractPDF
paper

Semi-infinite Hodge structures and mirror symmetry for projective spaces

arXiv:math/0010157

Abstract

We express total set of rational Gromov-Witten invariants of projective spaces via periods of variations of semi-infinite Hodge structure associated with their mirror partners.

17 pages, LaTeX; references added in sections 1 and 4, remark 4.11 extended, few other local improvements

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  • Helix Structures in Quantum Cohomology of Fano Varieties
  • Quantum cohomology of the Grassmannian and alternate Thom-Sebastiani
  • Multi-Point Virtual Structure Constants and Mirror Computation of CP^2-model
  • Categorical primitive forms of Calabi-Yau A∞​-categories with semi-simple cohomology
  • Frobenius Modules and Hodge Asymptotics
  • Categorical primitive forms and Gromov-Witten invariants of An​ singularities
  • Bulk-deformed potentials for toric Fano surfaces, wall-crossing and period
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