Geometry and topology of wild translation surfaces

Download or read book Geometry and topology of wild translation surfaces written by Randecker, Anja and published by KIT Scientific Publishing. This book was released on 2016-04-28 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.