Fundamental domains in ${\rm PSL}(2,{\mathbb R})$ for Fuchsian groups

Huynh Minh Hien

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arXiv · 1909.06792

Fundamental domains in ${\rm PSL}(2,{\mathbb R})$ for Fuchsian groups

Huynh Minh Hien

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Abstract

In this paper, we provide a necessary and sufficient condition for a set in ${\rm PSL}(2,{\mathbb R})$ or in $T^1{\mathbb H}^2$ to be a fundamental domain for a given Fuchsian group via its respective fundamental domain in the hyperbolic plane ${\mathbb H}^2$.

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Huynh Minh Hien. 2019-09-15. Fundamental domains in ${\rm PSL}(2,{\mathbb R})$ for Fuchsian groups. https://arxiv.org/abs/1909.06792

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