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Singular hyperbolic structures on pseudo-Anosov mapping tori

Autor: Kenji Kozai; Steve Kerckhoff; Thomas Church; Ronen E Mukamel; Stanford University. Department of Mathematics.
Editora: 2013.
Dissertação: Thesis (Ph.D.)--Stanford University, 2013.
Edição/Formato   Tese/dissertação : Documento : Tese/dissertação : e-book   Arquivo de Computador : Inglês
Base de Dados:WorldCat
Resumo:
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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Detalhes

Tipo de Material: Documento, Tese/dissertação, Recurso Internet
Tipo de Documento: Recurso Internet, Arquivo de Computador
Todos os Autores / Contribuintes: Kenji Kozai; Steve Kerckhoff; Thomas Church; Ronen E Mukamel; Stanford University. Department of Mathematics.
Número OCLC: 849237463
Notas: Submitted to the Department of Mathematics.
Descrição: 1 online resource.
Responsabilidade: Kenji Kozai.

Resumo:

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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