Towards a quantum Lefschetz hyperplane theorem in all genera

DOI10.2140/gt.2019.23.493zbMath1440.14251arXiv1712.03573OpenAlexW2771487653WikidataQ128244057 ScholiaQ128244057MaRDI QIDQ666716

Honglu Fan, Yuan-Pin Lee

Publication date: 12 March 2019

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.03573

zbMATH Keywords

Gromov-Wittenquantum Lefschetz hyperplane theorem

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35)

Related Items (5)

Variations on the theme of quantum Lefschetz ⋮ An effective theory of GW and FJRW invariants of quintics Calabi-Yau manifolds ⋮ Congruences on K-theoretic Gromov-Witten invariants ⋮ Gromov–Witten theory of complete intersections via nodal invariants ⋮ On weighted-blowup formulae of genus zero orbifold Gromov–Witten invariants

Cites Work

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• Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes
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• The Gopakumar-Vafa formula for symplectic manifolds
• Mirror theorem for elliptic quasimap invariants
• Functoriality in intersection theory and a conjecture of Cox, Katz, and Lee
• The reduced genus $1$ Gromov-Witten invariants of Calabi-Yau hypersurfaces
• A reconstruction theorem in quantum cohomology and quantum K -theory
• Equivariant Gromov - Witten Invariants
• Quantum Lefschetz hyperplane theorem

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