Geometry of infinitely generated Veech groups

Details Geometry of infinitely generated Veech groups Geometry of infinitely generated Veech groups

2004-10-06

arxiv.org/abs/math/0410132v1

Mathematics

Geometric Topology

23 pages, 3 figures

Scientific paper

Veech groups uniformize Teichm\"uller geodesic curves in Riemann moduli
space. Recently, examples of infinitely generated Veech groups have been given.
We show that these can even have infinitely many cusps and infinitely many
infinite ends. We further show that examples exist for which each direction of
an infinite end is the limit of directions of inequivalent infinite ends.

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