A mirror construction for the big equivariant quantum cohomology of toric manifolds
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Publication:2396224
DOI10.1007/s00208-016-1437-7zbMath1376.14057arXiv1503.02919OpenAlexW3104383735MaRDI QIDQ2396224
Publication date: 7 June 2017
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1503.02919
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) Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category (53D37)
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Toda-like \((0,2)\) mirrors to products of projective spaces ⋮ Global mirrors and discrepant transformations for toric Deligne-Mumford stacks ⋮ Affine nil-Hecke algebras and quantum cohomology ⋮ \(T\)-equivariant disc potential and SYZ mirror construction ⋮ Reconstructing GKZ via topological recursion ⋮ Algebraic aspects of hypergeometric differential equations
Cites Work
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- Seidel elements and mirror transformations for toric stacks
- On the better behaved version of the GKZ hypergeometric system
- Seidel elements and mirror transformations
- Shift operators and toric mirror theorem
- Quantum cohomology of the Springer resolution
- The quantum orbifold cohomology of weighted projective spaces
- The quantum differential equation of the Hilbert scheme of points in the plane
- Local B-model and mixed Hodge structure
- Lagrangian Floer theory on compact toric manifolds. II: Bulk deformations
- Period mapping associated to a primitive form
- An integral structure in quantum cohomology and mirror symmetry for toric orbifolds
- Hypergeometric periods for a tame polynomial
- Quantum Riemann-Roch, Lefschetz and Serre
- Orbifold quasimap theory
- Mirror symmetry for \(\mathbb P^2\) and tropical geometry
- Floer cohomology and disc instantons of Lagrangian torus fibers in Fano toric manifolds
- Quantum \(D\)-modules and generalized mirror transformations
- Computing genus-zero twisted Gromov-Witten invariants
- The moment map and equivariant cohomology
- Mirror principle. I
- Localization of virtual classes
- Hypergeometric functions and rings generated by monomials
- \(\pi_1\) of symplectic automorphism groups and invertibles in quantum homology rings
- Seidel elements and potential functions of holomorphic disc counting
- The small quantum cohomology of a weighted projective space, a mirror \(D\)-module and their classical limits
- Open Gromov-Witten invariants, mirror maps, and Seidel representations for toric manifolds
- On the quantum homology algebra of toric Fano manifolds
- Quantum cohomology and toric minimal model programs
- Quantum Kirwan morphism and Gromov-Witten invariants of quotients. I
- Orbifold quantum D-modules associated to weighted projective spaces
- Éléments de géométrie algébrique. I: Le langage des schémas. II: Étude globale élémentaire de quelques classe de morphismes. III: Étude cohomologique des faisceaux cohérents (première partie)
- Lagrangian Floer theory on compact toric manifolds. I.
- Lagrangian Floer theory and mirror symmetry on compact toric manifolds
- Wall-crossing in genus zero quasimap theory and mirror maps
- Topological properties of Hamiltonian circle actions
- A mirror theorem for toric stacks
- Non-adic Formal Schemes
- A mirror theorem for toric complete intersections
- On the structure of Brieskorn lattices, II
- Logarithmic Frobenius manifolds, hypergeometric systems and quantum 𝒟-modules
- Non-affine Landau-Ginzburg models and intersection cohomology
- Gauge theory and mirror symmetry
- Quantum groups and quantum cohomology
- Convergence of quantum cohomology by quantum Lefschetz
- Local mirror symmetry: Calculations and interpretations
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