We establish a correspondence between the disk invariants of a smooth toric Calabi-Yau 3-
fold X with boundary condition specified by a framed Aganagic-Vafa outer brane (L, f) and …

This survey covers recent developments on the geometry and physics of Looijenga pairs,
namely pairs (X, D) with X a complex algebraic surface and D a singular anticanonical …

A bicyclic pair is a smooth surface equipped with a pair of smooth divisors intersecting in two
reduced points. Resolutions of self-nodal curves constitute an important special case. We …

We prove the integrality and finiteness of open BPS invariants of toric Calabi–Yau 3-folds
relative to Aganagic–Vafa outer branes, defined from open Gromov–Witten invariants by the …

This thesis explores different aspects of Gromov–Witten theory and is divided into two parts.
The first investigates conjectures of Bousseau, Brini and van Garrel relating three a priori …

A two-component Looijenga pair is a rational smooth projective surface with an
anticanonical divisor consisting of two transversally intersecting curves. We establish an all …

We develop the mathematical theory of the open/closed correspondence, proposed by Mayr
in physics as a class of dualities between open strings on Calabi-Yau 3-folds and closed …

On Higher Genus Gromov-Witten Correspondences for Log Calabi-Yau Surfaces with Smooth
Anticanonical Divisor Page 1 NORTHWESTERN UNIVERSITY On Higher Genus Gromov-Witten …