#### Volume 21, issue 6 (2021)

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Minimal surfaces with arbitrary topology in $\mathbb H^2\times \mathbb R$

### Baris Coskunuzer

Algebraic & Geometric Topology 21 (2021) 3123–3151
##### Abstract

We show that any open orientable surface $S$ can be properly embedded in ${ℍ}^{2}×ℝ$ as an area-minimizing surface.

##### Keywords
minimal surfaces, asymptotic plateau problem, $\mathbb{H}^2\times \mathbb{R}$
Primary: 53A10
Secondary: 53C42