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Geometry and topology of wild translation surfaces

Randecker, Anja

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.


Volltext §
DOI: 10.5445/IR/1000052212
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Algebra und Geometrie (IAG)
Publikationstyp Hochschulschrift
Publikationsjahr 2015
Sprache Englisch
Identifikator urn:nbn:de:swb:90-522125
KITopen-ID: 1000052212
Verlag Karlsruher Institut für Technologie (KIT)
Art der Arbeit Dissertation
Fakultät Fakultät für Mathematik (MATH)
Institut Institut für Algebra und Geometrie (IAG)
Prüfungsdaten 17.06.2015
Schlagwörter geometric topology, infinite translation surfaces, wild singularities, rotational components
Relationen in KITopen
Referent/Betreuer Weitze-Schmithüsen, J. Prof. G.
KIT – Die Forschungsuniversität in der Helmholtz-Gemeinschaft
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