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Topics in 3-manifold topology SemesterSoSe 2019 Dozent Raphael Zentner Veranstaltungsart Seminar Inhalt We will cover topics in 3-manifold topology: We start with basic theory, including the prime decomposition theorem, a proof of Dehn's lemma and the loop theorem, the notion of hierarchies, a funamental technique in 3-manifold topology introduced by Haken and exploited also by Waldhausen, Johannson, and, in an adopted way, by Gabai and Thurston, among others. As a large class of 3-manifolds that are well understood we will discuss Seifert fibred manifolds. We then turn to more recent topics in 3-manifold topology such as sutured manifolds, geometrisation, and the virtual Haken and virtual fibering conjecture. This seminar is intended for students wishing to write a bachelor or master thesis in the area of 3-manifold topology, and also for researchers working in this area. Empfohlene Vorkenntnisse Solid knowledge in algebraic topology is necessary, and in particular homology groups, the fundamental group, and covering spaces Termin Do 14-16 Uhr Ort M 009 Anmeldung
BSem, MV, MSem ECTS Siehe Modulkatalog. MV und Nebenfach: 4,5 LP bei Studienbeginn ab WS 15/16, 6 LP bei Studienbeginn vor WS 15/16 |