3 papers
math.AG2025
Orbifold Open/Closed Correspondence and Mirror Symmetry
Chiu-Chu Melissa Liu, Song Yu
We continue the mathematical development of the open/closed correspondence proposed by Mayr and Lerche-Mayr. Given an open geometry on a toric Calabi-Yau 3-orbifold r…
math.AG2025
The Open Crepant Transformation Conjecture for Toric Calabi-Yau 3-Orbifolds
Song Yu
We prove an open version of Ruan's Crepant Transformation Conjecture for toric Calabi-Yau 3-orbifolds, which is an identification of disk invariants of K-equivalent semi-projective…
math.AG2024
Open/Closed BPS Correspondence and Integrality
Song Yu
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…