Song Yu

collaborators

5 papers

math.AG2025

Remodeling Conjecture with Descendants

Bohan Fang, Chiu-Chu Melissa Liu, Song Yu +1

We formulate and prove the Remodeling Conjecture with descendants, which is a version of all-genus equivariant descendant mirror symmetry for semi-projective toric Calabi-Yau 3-orb…

math.AG2025

Multi-Component Open/Relative/Local Correspondence

Song Yu, Ke Zhang, Zhengyu Zong

For a toric Calabi-Yau 3-orbifold relative to s Aganagic-Vafa outer branes, we prove a correspondence among the genus-zero open Gromov-Witten invariants with maximal winding at eac…

math.AG2025

Quantum cohomology of variations of GIT quotients and flips

Zhaoxing Gu, Song Yu, Tony Yue YU

We prove a decomposition theorem for the quantum cohomology of variations of GIT quotients. More precisely, for any reductive group $G$ and a simple $G$ -VGIT wall-crossing $X_- \da…

math.AG2025

Hodge-theoretic Open/Closed Correspondence

Song Yu

We continue the B-model development of the open/closed correspondence proposed by Mayr and Lerche-Mayr, complementing the A-model study in the preceding joint works with Liu and pr…

math.AG2025

Open WDVV Equations and Frobenius Structures for Toric Calabi-Yau 3-Folds

Song Yu, Zhengyu Zong

Let $X$ be a toric Calabi-Yau 3-fold and let $L \subset X$ be an Aganagic-Vafa outer brane. We prove two versions of open WDVV equations for the open Gromov-Witten theory of $(X, L)$ …