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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Main Author: Randecker, Anja (auth)
Format: Electronic Book Chapter
Language:English
Published: KIT Scientific Publishing 2016
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DOAB: description of the publication
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520 |a 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. 
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546 |a English 
653 |a infinite translation surfaces 
653 |a wild singularities 
653 |a Drehkomponentengeometric topology 
653 |a unendliche Translationsflächen 
653 |a wilde Singularitäten 
653 |a geometrische Topologie 
653 |a rotational components 
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