J FUNCTIONS, NON-NEF TORIC VARIETIES AND EQUIVARIANT LOCAL MIRROR SYMMETRY OF CURVES

DOI10.1142/S0217751X0703649XzbMath1134.14030arXivmath/0603728MaRDI QIDQ5294353

Masao Jinzenji, Brian Forbes

Publication date: 24 July 2007

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0603728

zbMATH Keywords

local mirror symmetryquantum cosmologytopological string

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Families, moduli of curves (algebraic) (14H10) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35)

Related Items (6)

Mirror map as generating function of intersection numbers: toric manifolds with two Kähler forms ⋮ Open topological strings and integrable hierarchies: remodeling the A-model ⋮ The local Gromov-Witten theory of \({\mathbb{C}\mathbb{P}^1}\) and integrable hierarchies ⋮ Direct proof of the mirror theorem for projective hypersurfaces up to degree 3 rational curves ⋮ Vortex partition functions, wall crossing and equivariant Gromov-Witten invariants ⋮ Virtual structure constants as intersection numbers of moduli space of polynomial maps with two marked points

Cites Work

• Mirror principle. I
• Quantum cohomology via \(D\)-modules
• Extending the Picard-Fuchs system of local mirror symmetry
• Construction of Free Energy of Calabi–Yau Manifold Embedded in CP^N-1 via Torus Actions
• Equivariant Gromov - Witten Invariants
• COORDINATE CHANGE OF GAUSS–MANIN SYSTEM AND GENERALIZED MIRROR TRANSFORMATION
• Local mirror symmetry: Calculations and interpretations

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