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...
Saved in:
| Main Author: | |
|---|---|
| Format: | Online |
| Language: | English |
| Published: |
KIT Scientific Publishing
2021
|
| Subjects: | |
| Online Access: | 35702 |
| Tags: |
No Tags, Be the first to tag this record!
|
| _version_ | 1869529402235158528 |
|---|---|
| author | Randecker, Anja |
| author_browse | Randecker, Anja |
| author_facet | Randecker, Anja |
| author_sort | Randecker, Anja |
| collection | Directory of Open Access Books |
| 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. |
| format | Online |
| id | doab-20.500.12854ir-48493 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| publisher | KIT Scientific Publishing |
| publisherStr | KIT Scientific Publishing |
| record_format | ojs |
| spelling | doab-20.500.12854ir-484932023-12-20T18:40:37Z Geometry and topology of wild translation surfaces Randecker, Anja QA1-939 infinite translation surfaces wild singularities Drehkomponentengeometric topology unendliche Translationsflächen wilde Singularitäten geometrische Topologie rotational components bic Book Industry Communication::P Mathematics & science 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. 2021-02-11T14:29:22Z 2021-02-11T14:29:22Z 2019-07-30 20:02:02 2016 book 35702 9783731504566 https://directory.doabooks.org/handle/20.500.12854/48493 eng image/jpeg Attribution-ShareAlike 4.0 International https://www.ksp.kit.edu/9783731504566 KIT Scientific Publishing 10.5445/KSP/1000050964 10.5445/KSP/1000050964 68fffc18-8f7b-44fa-ac7e-0b7d7d979bd2 9783731504566 151 p. open access |
| spellingShingle | QA1-939 infinite translation surfaces wild singularities Drehkomponentengeometric topology unendliche Translationsflächen wilde Singularitäten geometrische Topologie rotational components bic Book Industry Communication::P Mathematics & science Randecker, Anja Geometry and topology of wild translation surfaces |
| title | Geometry and topology of wild translation surfaces |
| title_full | Geometry and topology of wild translation surfaces |
| title_fullStr | Geometry and topology of wild translation surfaces |
| title_full_unstemmed | Geometry and topology of wild translation surfaces |
| title_short | Geometry and topology of wild translation surfaces |
| title_sort | geometry and topology of wild translation surfaces |
| topic | QA1-939 infinite translation surfaces wild singularities Drehkomponentengeometric topology unendliche Translationsflächen wilde Singularitäten geometrische Topologie rotational components bic Book Industry Communication::P Mathematics & science |
| topic_facet | QA1-939 infinite translation surfaces wild singularities Drehkomponentengeometric topology unendliche Translationsflächen wilde Singularitäten geometrische Topologie rotational components bic Book Industry Communication::P Mathematics & science |
| url | 35702 |
| work_keys_str_mv | AT randeckeranja geometryandtopologyofwildtranslationsurfaces |