Computing fundamental domains for Fuchsian groups

By John Voight. 2008

69 citations recorded by the source corpus.

We exhibit an algorithm to compute a Dirichlet domain for a cofinite Fuchsian group Gamma. As a consequence, we compute the invariants of Gamma, including an explicit finite presentation for Gamma.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/4f046d6423b949d99a5be39de374ef5a64e0f00d

How researchers see this paper

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In Computational Theory and Mathematics

1. Lassina Dembélé

In Geometry and Topology

1. Lassina Dembélé
2. John Voight
3. John Cremona

In Mathematical Physics

1. Lassina Dembélé
2. John Voight
3. John Cremona

Citations in the corpus

• Explicit Methods for Hilbert Modular Forms (2010, methodology): “) The second author has proven [67] that there exists an algorithm which computes a Dirichlet domain D for Γ, a side pairing for D, and a finite presentation for Γ with a minimal set of generators together with a solution to the word problem for Γ.”