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math.AGDec 1, 2017
10
citations (OpenAlex)
authors
  • Honglu Fan
  • Yuan-Pin Lee
institutions
  • ETH Zurich
  • University of Utah
arXiv abstractPDF
paper

Towards a quantum Lefschetz hyperplane theorem in all genera

arXiv:1712.03573 · doi:10.2140/gt.2019.23.493

Abstract

An effective algorithm of determining Gromov--Witten invariants of smooth hypersurfaces in any genus (subject to a degree bound) from Gromov--Witten invariants of the ambient space is proposed. The Appendix is joint with E. Schulte-Geers.

Corrected a misleading sentence about liftings of insertions. Final

References in corpus (13)

  • A mirror theorem for toric complete intersections
  • Semisimple Frobenius structures at higher genus
  • Localization in Gromov-Witten Theory and Orbifold Gromov-Witten Theory
  • Mirror Theorem for Elliptic Quasimap Invariants
  • A mirror theorem for genus two Gromov-Witten invariants of quintic threefolds
  • Quantum Lefschetz Hyperplane Theorem
  • The Genus-One Global Mirror Theorem for the Quintic Threefold
  • Gromov-- Witten Invariants of Toric Fibrations
  • A Remark on Gromov-Witten Invariants of Quintic Threefold
  • An effective theory of GW and FJRW invariants of quintics Calabi-Yau manifolds
  • Genus one GW invariants of quintic threefolds via MSP localization
  • On Gromov-Witten theory of projective bundles
  • Gromov-Witten invariants for varieties with C* action

Cited by in corpus (4)

  • BCOV's Feynman rule of quintic 3-folds
  • Congruences on K-theoretic Gromov--Witten invariants
  • Hodge-Gromov-Witten theory
  • Variations on the theme of quantum Lefschetz
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