Geometry and topology of wild translation surfaces
Abstract
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.
Keywords
infinite translation surfaces; wild singularities; Drehkomponentengeometric topology; unendliche Translationsflächen; wilde Singularitäten; geometrische Topologie; rotational componentsISBN
9783731504566Publisher
KIT Scientific PublishingPublisher website
http://www.ksp.kit.edu/Publication date and place
2016Classification
Mathematics & science