3 papers
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.DG2025
A YTD correspondence for constant scalar curvature metrics
Tamás Darvas, Kewei Zhang
Given a compact Kähler manifold, to better understand Mabuchi's energy we introduce a family of energies, whose favorable properties are similar to those of the Ding ener…
math.AG2025
Quantized volume comparison for Fano manifolds
Kewei Zhang
A result of Kento Fujita says that the volume of a Kähler-Einstein Fano manifold is bounded from above by the volume of the projective space. In this short note we establish quanti…