Mengmeng Xu

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20222026

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math.GT2026

Complex Hyperbolic Elliptics Preserving Lagrangian Planes

Mengmeng Xu, Yibo Zhang

For a regular, real elliptic isometry $f$ of finite order in $H_{C}^{2}$ , we determine the explicit cellular structure of the Ford domain of $⟨ f ⟩$ wit…

math.GT2024

Complex Hyperbolic Geometry of Chain Links

Jiming Ma, Baohua Xie, Mengmeng Xu

The complex hyperbolic triangle group $Γ = Δ_{4, \infty, \infty; \infty}$ acting on the complex hyperbolic plane $H_{C}^{2}$ is generated by complex reflections $I_{1}$ , $I_{2}$ …