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...
| Format: | eBook |
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| Language: | English |
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KIT Scientific Publishing
2016
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| Subjects: | |
| Online Access: | Open Access: DOAB: description of the publication Open Access: DOAB, download the publication |
| Summary: | 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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| Physical Description: | 1 online resource (151 p. p.) |
| ISBN: | 9783731504566 KSP/1000050964 |
| Access: | Open Access |