Ferran Valdez
Published 2008-11-05, updated 2009-05-11Version 2
We prove that the natural invariant surface associated with the billiard game on an irrational polygonal table is homeomorphic to the Loch Ness monster, that is, the only orientable infinite genus topological real surface with exactly one end.
Comments: 15 pages, 18 figures
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Veech groups, irrational billiards and stable abelian differentials
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