Seidel elements and mirror transformations

DOI10.1007/s00029-011-0080-0zbMath1263.14054arXiv1103.4171OpenAlexW1975101448MaRDI QIDQ451779

Hiroshi Iritani, Eduardo González

Publication date: 24 September 2012

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.4171

zbMATH Keywords

mirror symmetrySeidel elementsBatyrev relationsFano toric varietynef toric variety

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Mirror symmetry (algebro-geometric aspects) (14J33)

Related Items (5)

A mirror construction for the big equivariant quantum cohomology of toric manifolds ⋮ Noncontractible Hamiltonian loops in the kernel of Seidel's representation ⋮ A note on disk counting in toric orbifolds ⋮ Enumerative meaning of mirror maps for toric Calabi-Yau manifolds ⋮ Quantum cohomology and toric minimal model programs

Cites Work

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• Torus actions on symplectic manifolds
• QUANTUM HOMOLOGY OF FIBRATIONS OVER S²
• Quantum cohomology and 𝑆¹-actions with isolated fixed points
• A mirror theorem for toric complete intersections
• Equivariant Gromov - Witten Invariants

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