The proper Landau-Ginzburg potential is the open mirror map

Geometric aspects of tropical varieties (14T20) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Fano varieties (14J45) Cluster algebras (13F60) Mirror symmetry (algebro-geometric aspects) (14J33) Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category (53D37)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Open Gromov-Witten invariants of toric Calabi-Yau 3-folds
A formula equating open and closed Gromov-Witten invariants and its applications to mirror symmetry
SYZ mirror symmetry for toric Calabi-Yau manifolds
Integrability of the holomorphic anomaly equations
Seidel elements and mirror transformations
Towards mirror symmetry for varieties of general type
From real affine geometry to complex geometry
Gross fibrations, SYZ mirror symmetry, and open Gromov-Witten invariants for toric Calabi-Yau orbifolds
Period integrals from wall structures via tropical cycles, canonical coordinates in mirror symmetry and analyticity of toric degenerations
Enumeration of rational plane curves tangent to a smooth cubic
Mirror symmetry for $\mathbb P^2$ and tropical geometry
The tropical vertex
Floer cohomology and disc instantons of Lagrangian torus fibers in Fano toric manifolds
Gromov-Witten invariants of blow-ups along points and curves
The Gopakumar-Vafa formula for symplectic manifolds
Tropical refined curve counting from higher genera and lambda classes
Curves in Calabi-Yau threefolds and topological quantum field theory
The quantum tropical vertex
Open Gromov-Witten invariants, mirror maps, and Seidel representations for toric manifolds
Special Lagrangian submanifolds of log Calabi-Yau manifolds
A homology theory for tropical cycles on integral affine manifolds and a perfect pairing
Compactifying torus fibrations over integral affine manifolds with singularities
From symplectic cohomology to Lagrangian enumerative geometry
Local Gromov-Witten invariants are log invariants
A relation for Gromov-Witten invariants of local Calabi-Yau threefolds
Enumerative meaning of mirror maps for toric Calabi-Yau manifolds
Mirror symmetry via logarithmic degeneration data. I
The degeneration formula for stable log maps
Mirror Symmetry and Fano Manifolds
Log Hodge groups on a toric Calabi-Yau degeneration
Poisson automorphisms and quiver moduli
Tropical correspondence for smooth del Pezzo log Calabi-Yau pairs
The tropical superpotential for $\mathbb{P}^2$
Tropically constructed Lagrangians in mirror quintic threefolds
Descendant log Gromov-Witten invariants for toric varieties and tropical curves
Local mirror symmetry in the tropics
Disk Instantons, Mirror Symmetry and the Duality Web
Mirror symmetry and T-duality in the complement of an anticanonical divisor
Tropical Quantum Field Theory, Mirror Polyvector Fields, and Multiplicities of Tropical Curves
Local mirror symmetry: Calculations and interpretations
A tropical view on Landau-Ginzburg models
Floor diagrams and enumerative invariants of line bundles over an elliptic curve
Stable maps to Looijenga pairs
The proper Landau-Ginzburg potential, intrinsic mirror symmetry and the relative mirror map
Mirror map for Landau-Ginzburg models with nonabelian groups