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math.SG2024
Open enumerative mirror symmetry for lines in the mirror quintic
Sebastian Haney
Mirror symmetry gives predictions for the genus zero Gromov-Witten invariants of a closed Calabi--Yau variety in terms of period integrals on a mirror family of Calabi-Yau varietie…
math.SG2024
Infinity inner products and open Gromov--Witten invariants
Sebastian Haney
The open Gromov--Witten (OGW) potential is a function from the set of weak bounding cochains on a closed Lagrangian in a closed symplectic manifold to the Novikov ring. Existing de…
math.SG2024
Cusped hyperbolic Lagrangians as mirrors to lines in three-space
Sebastian Haney
We construct a Lagrangian in the cotangent bundle of a 3-torus whose projection to the fiber is a neighborhood of a tropical curve with a single 4-valent vertex. This Lagrangian ha…