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math.AGMar 1, 2000
20
citations (OpenAlex)
authors
  • Yuan-Pin Lee
institutions
  • University of California, Los Angeles
arXiv abstractPDF
paper

Quantum Lefschetz Hyperplane Theorem

arXiv:math/0003128 · doi:10.1007/s002220100145

Abstract

The mirror theorem is generalized to any smooth projective variety X. That is, a fundamental relation between the Gromov-Witten invariants of X and Gromov-Witten invariants of complete intersections Y in X is established.

Cited by in corpus (12)

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  • Floer theory for negative line bundles via Gromov-Witten invariants
  • Quantum periods of Calabi-Yau fourfolds
  • A Desingularization of the Main Component of the Moduli Space of Genus-One Stable Maps into Pn
  • Circle-actions, quantum cohomology, and the Fukaya category of Fano toric varieties
  • A smooth compactification of the space of genus two curves in projective space via logarithmic geometry and Gorenstein curves
  • On the quantum periods of del Pezzo surfaces with 31​(1,1) singularities
  • Towards a quantum Lefschetz hyperplane theorem in all genera
  • The Genus 0 Gromov-Witten Invariants of Projective Complete Intersections
  • Disjoinable Lagrangian tori and semisimple symplectic cohomology
  • Quantum Lefschetz without curves
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