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Singular hyperbolic structures on pseudo-Anosov mapping tori

Verfasser/in: Kenji Kozai; Steve Kerckhoff; Thomas Church; Ronen E Mukamel; Stanford University. Department of Mathematics.
Verlag: 2013.
Dissertation: Thesis (Ph.D.)--Stanford University, 2013.
Ausgabe/Format   Diplomarbeit/Dissertation : Dokument : Diplomarbeit/Dissertation : E-Book   Computer-Datei : Englisch
Datenbank:WorldCat
Zusammenfassung:
We study three-manifolds that are constructed as mapping tori of surfaces with pseudo-Anosov monodromy. We use Danciger's half-pipe geometry to regenerate hyperbolic structures when the monodromy has orientable foliations and its induced action on cohomology does not have 1 as an eigenvalue. We also include some discussion on Agol's veering triangulation construction.
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Medientyp: Dokument, Diplomarbeit/Dissertation, Internetquelle
Dokumenttyp: Internet-Ressource, Computer-Datei
Alle Autoren: Kenji Kozai; Steve Kerckhoff; Thomas Church; Ronen E Mukamel; Stanford University. Department of Mathematics.
OCLC-Nummer: 849237463
Anmerkungen: Submitted to the Department of Mathematics.
Beschreibung: 1 online resource.
Verfasserangabe: Kenji Kozai.

Abstract:

We study three-manifolds that are constructed as mapping tori of surfaces with pseudo-Anosov monodromy. We use Danciger's half-pipe geometry to regenerate hyperbolic structures when the monodromy has orientable foliations and its induced action on cohomology does not have 1 as an eigenvalue. We also include some discussion on Agol's veering triangulation construction.

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