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Physical Sciences and Engineering Mathematics Geometry and Topology

Deforming the RR-Fuchsian (4, 4, 4)-triangle group into a lattice

Article ID Journal Published Year Pages File Type
4657640 Topology 2006 32 Pages PDF
Abstract

We prove that the last discrete deformation of the RR-Fuchsian (4, 4, 4)-triangle group in PU(2,1)PU(2,1) is a cocompact arithmetic lattice. We also describe an experimental method for finding the combinatorics of a Dirichlet fundamental domain, and apply it to the lattice in question.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology
Preview
Deforming the RR-Fuchsian (4, 4, 4)-triangle group into a lattice
Authors
Martin Deraux,
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Journal: Topology
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