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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 |
|---|---|---|
jms220307.pdf (139.3 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 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Scheme | Other | |||||
| 主題 | Twisted Alexander polynomial | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Reidemeister torsion | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | character variety | |||||
| 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Scheme | NDC | |||||
| 主題 | 415 | |||||
| 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 | ||||||
