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Singular hyperbolic structures on pseudo-Anosov mapping tori

作者: Kenji Kozai; Steve Kerckhoff; Thomas Church; Ronen E Mukamel; Stanford University. Department of Mathematics.
出版商: 2013.
論文: Thesis (Ph.D.)--Stanford University, 2013.
版本/格式:   碩士/博士論文 : 文獻 : 碩士論文/博士論文 : 電子書   電腦資料 : 英語
資料庫:WorldCat
提要:
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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資料類型: 文獻, 碩士論文/博士論文, 網際網路資源
文件類型: 網路資源, 電腦資料
所有的作者/貢獻者: Kenji Kozai; Steve Kerckhoff; Thomas Church; Ronen E Mukamel; Stanford University. Department of Mathematics.
OCLC系統控制編碼: 849237463
注意: Submitted to the Department of Mathematics.
描述: 1 online resource.
責任: Kenji Kozai.

摘要:

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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