Geometry and topology of wild translation surfaces

Released on by Randecker, Anja
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  • Geometry and topology of wild translation surfaces Book Detail

  • Author : Randecker, Anja
  • Release Date : 2016-04-28
  • Publisher : KIT Scientific Publishing
  • Genre : Mathematics
  • Pages : 162
  • ISBN 13 : 3731504561
  • File Size : 93,93 MB
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Geometry and topology of wild translation surfaces by Randecker, Anja PDF Summary

Book Description: 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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