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Singular hyperbolic structures on pseudo-Anosov mapping tori

Author: Kenji Kozai; Steve Kerckhoff; Thomas Church; Ronen E Mukamel; Stanford University. Department of Mathematics.
Publisher: 2013.
Dissertation: Ph. D. Stanford University 2013
Edition/Format:   Thesis/dissertation : Document : Thesis/dissertation : eBook   Computer File : English
Database:WorldCat
Summary:
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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Details

Material Type: Document, Thesis/dissertation, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Kenji Kozai; Steve Kerckhoff; Thomas Church; Ronen E Mukamel; Stanford University. Department of Mathematics.
OCLC Number: 849237463
Notes: Submitted to the Department of Mathematics.
Description: 1 online resource
Responsibility: 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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