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Twisted Alexander Polynomials and Incompressible Surfaces Given by Ideal Points
http://hdl.handle.net/2261/59550
http://hdl.handle.net/2261/59550faae2678-2e73-4b94-80ac-7b538a751776
名前 / ファイル | ライセンス | アクション |
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jms220307.pdf (139.3 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2016-07-19 | |||||
タイトル | ||||||
タイトル | Twisted Alexander Polynomials and Incompressible Surfaces Given by Ideal Points | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題 | Twisted Alexander polynomial | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | Reidemeister torsion | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | character variety | |||||
主題Scheme | Other | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
Kitayama, Takahiro
× Kitayama, Takahiro |
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著者所属 | ||||||
著者所属 | Department of Mathematics, Tokyo Institute of Technology | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | We study incompressible surfaces constructed by Culler-Shalen theory in the context of twisted Alexander polynomials. For a 1st cohomology class of a 3-manifold the coefficients of twisted Alexander polynomials induce regular functions on the SL2(C)-character variety. We prove that if an ideal point gives a Thurston norm minimizing non-separating surface dual to the cohomology class, then the regular function of the highest degree has a finite value at the ideal point. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 22, 号 3, p. 877-891, 発行日 2015-07-15 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 13405705 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA11021653 | |||||
日本十進分類法 | ||||||
主題 | 415 | |||||
主題Scheme | NDC | |||||
Mathematical Reviews Number | ||||||
MR | ||||||
Mathmatical Subject Classification | ||||||
57M27(MSC2010) | ||||||
Mathmatical Subject Classification | ||||||
57Q10(MSC2010) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
2014-06-30 |