5 papers
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 the theory of special Kähler structures. In particular, the regular part of the Hitchin base carri…
Complex structures of the Gibbons-Hawking ansatz with infinite topological type
Wenxin He, Bin Xu
In this paper, we study the complex structures of complete hyperkähler four-manifolds of infinite topological type arising from the Gibbons-Hawking ansatz. We show that for almost…
On a geometric comparison of representations of complex and -adic
Taiwang Deng, Chang Huang, Bin Xu +1
In this paper, we use geometric methods to study the relations between admissible representations of and unramified representations of $\mathbf{GL}_m(\m…
Counting Rational Curves and Standard Complex Structures on HyperKähler ALE 4-manifolds
Yuanjiu Lyu, Bin Xu
All hyperKähler ALE 4-manifolds with a given non-trivial finite group in at infinity are parameterized by an open dense subset of a real linear space of dimension ra…
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…