Geometry and topology of wild translation surfaces

A translation surface is a two-dimensional manifold, equipped with a translation structure. It can be obtained by considering Euclidean polygons and identifying their edges via translations. The vertices of the polygons form singularities if the translation structure can not be extended to them. We...

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Bibliografische gegevens
Hoofdauteur: Randecker, Anja (auth)
Formaat: Elektronisch Hoofdstuk
Taal:Engels
Gepubliceerd in: KIT Scientific Publishing 2016
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Samenvatting:A translation surface is a two-dimensional manifold, equipped with a translation structure. It can be obtained by considering Euclidean polygons and identifying their edges via translations. The vertices of the polygons form singularities if the translation structure can not be extended to them. We study translation surfaces with wild singularities, regarding the topology (genus and space of ends), the geometry (behavior of the singularities), and how the topology and the geometry are related.
Fysieke beschrijving:1 electronic resource (151 p. p.)
ISBN:KSP/1000050964
9783731504566
Toegang:Open Access