Bin Xu

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20242026

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math.DG2025

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…

math.RT2025

On a geometric comparison of representations of complex and $p$ -adic $GL_{n}$

Taiwang Deng, Chang Huang, Bin Xu +1

In this paper, we use geometric methods to study the relations between admissible representations of $GL_{n} (C)$ and unramified representations of $\mathbf{GL}_m(\m…

Complex structures of the Gibbons-Hawking ansatz with infinite topological type

On a geometric comparison of representations of complex and p-adic GLn​

On a geometric comparison of representations of complex and $p$ -adic $GL_{n}$