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...

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Main Author: Randecker, Anja (auth)
Format: Book Chapter
Published: KIT Scientific Publishing 2016
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Online Access:Get Fullteks
DOAB: description of the publication
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001 doab_20_500_12854_48493
005 20210211
020 |a KSP/1000050964 
020 |a 9783731504566 
024 7 |a 10.5445/KSP/1000050964  |c doi 
041 0 |a English 
042 |a dc 
100 1 |a Randecker, Anja  |4 auth 
245 1 0 |a Geometry and topology of wild translation surfaces 
260 |b KIT Scientific Publishing  |c 2016 
300 |a 1 electronic resource (151 p. p.) 
506 0 |a Open Access  |2 star  |f Unrestricted online access 
520 |a 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. 
540 |a Creative Commons  |f https://creativecommons.org/licenses/by-sa/4.0/  |2 cc  |4 https://creativecommons.org/licenses/by-sa/4.0/ 
546 |a English 
653 |a infinite translation surfaces 
653 |a wild singularities 
653 |a Drehkomponentengeometric topology 
653 |a unendliche Translationsflächen 
653 |a wilde Singularitäten 
653 |a geometrische Topologie 
653 |a rotational components 
856 4 0 |a www.oapen.org  |u https://www.ksp.kit.edu/9783731504566  |7 0  |z Get Fullteks 
856 4 0 |a www.oapen.org  |u https://directory.doabooks.org/handle/20.500.12854/48493  |7 0  |z DOAB: description of the publication