Showing math.DGShow all
3 papers · 1 filter
math.DG2026
Local Models for Special Kähler Metric Singularities Along the Discriminant Locus of the Hitchin Base
Zhenxi Huang, Shuo Wang, Bin Xu
Freed (arXiv:hep-th/9712042) formulated special Kähler structures; in particular, the regular locus of the Hitchin base carries such a str…
math.DG2025
A note On the existence of solutions to Hitchin's self-duality equations
Yu Feng, Shuo Wang, Bin Xu
In 1987, Hitchin introduced the self-duality equations on rank-2 complex vector bundles over compact Riemann surfaces with genus greater than one as a reduction of the Yang-Mills e…
math.DG2024
Hypercomplex structures arising from twistor spaces
Shuo Wang, Bin Xu
A hyperkähler manifold is defined as a Riemannian manifold endowed with three covariantly constant complex structures that are quaternionically related. A twistor space is characte…