A mirror theorem for toric stacks
DOI10.1112/S0010437X15007356zbMath1330.14093arXiv1401.2611MaRDI QIDQ3458401
Tom Coates, Alessio Corti, Hiroshi Iritani, Hsian-Hua Tseng
Publication date: 18 December 2015
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1401.2611
mirror symmetryhypergeometric functionsorbifoldsquantum cohomologyGromov-Witten theorytoric Deligne-Mumford stacksGivental's symplectic formalism
Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Generalizations (algebraic spaces, stacks) (14A20) Mirror symmetry (algebro-geometric aspects) (14J33)
Related Items (42)
Cites Work
- Abelian Hurwitz-Hodge integrals
- The quantum orbifold cohomology of weighted projective spaces
- Open orbifold Gromov-Witten invariants of \({[\mathbb{C}^3/\mathbb{Z}_n}\): Localization and mirror symmetry]
- Hypergeometric equations and weighted projective spaces
- Quantum \(D\)-modules and equivariant Floer theory for free loop spaces
- Wall-crossings in toric Gromov-Witten theory. I: Crepant examples
- An integral structure in quantum cohomology and mirror symmetry for toric orbifolds
- Logarithmic geometry, minimal free resolutions and toric algebraic stacks
- Quantum Riemann-Roch, Lefschetz and Serre
- Note on orbifold Chow ring of semi-projective toric Deligne-Mumford stacks
- Computing genus-zero twisted Gromov-Witten invariants
- Orbifold quantum Riemann-Roch, Lefschetz and Serre
- A new cohomology theory of orbifold
- Homological geometry. I: Projective hypersurfaces
- Quantum cohomology and periods
- Equivariant GW theory of stacky curves
- Lagrangian Floer superpotentials and crepant resolutions for toric orbifolds
- A mirror theorem for the mirror quintic
- Orbifold quantum D-modules associated to weighted projective spaces
- The orbifold Chow ring of toric Deligne-Mumford stacks
- Wall-crossing in genus zero quasimap theory and mirror maps
- Gerby localization, ℤ₃-Hodge integrals and the GW theory of [ℂ³/ℤ₃]
- Gromov-Witten theory of Deligne-Mumford stacks
- The category of toric stacks
- Quantum cohomology of [ℂN/μr]
- Orbifold quantum cohomology of weighted projective spaces
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