A sum-over-tropical-graphs calculus counts holomorphic disks in almost toric manifolds and realizes every integer eigenvalue of non-maximal modulus for quantum multiplication by the first Chern class via spheres.
Almost toric symplectic four-manifolds.J
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Tropical formula for disk potentials of Lagrangian tori in almost toric four-manifolds generalizes Mikhalkin's result for holomorphic spheres in the projective plane.
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Holomorphic disks and tropical Lagrangians
A sum-over-tropical-graphs calculus counts holomorphic disks in almost toric manifolds and realizes every integer eigenvalue of non-maximal modulus for quantum multiplication by the first Chern class via spheres.
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Tropical disk potential for almost toric manifolds
Tropical formula for disk potentials of Lagrangian tori in almost toric four-manifolds generalizes Mikhalkin's result for holomorphic spheres in the projective plane.