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On a Remarkable Polyhedron Geometrizing the Figure Eight Knot Cone Manifolds
http://hdl.handle.net/2261/1557
http://hdl.handle.net/2261/15577d8b5678-b15e-45bc-8e0f-14beb95f6e0c
名前 / ファイル | ライセンス | アクション |
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jms020301.pdf (370.6 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2008-03-04 | |||||
タイトル | ||||||
タイトル | On a Remarkable Polyhedron Geometrizing the Figure Eight Knot Cone Manifolds | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | departmental bulletin paper | |||||
著者 |
Hilden, Hugh
× Hilden, Hugh |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | We define a one parameter family of polyhedra $P(t)$ that live in three dimensional spaces of constant curvature $C(t)$. Identifying faces in pairs in $P(t)$ via isometries gives rise to a cone manifold $M(t)$ (A cone manifold is much like an orbifold.). Topologically $M(t)$ is $S^3$ and it has a singular set that is the figure eight knot. As $t$ varies, curvature takes on every real value. At $t=-1$ a phenomenon which we call spontaneous surgery occurs and the topological type of $M(t)$ changes. We discuss the implications of this. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 2, 号 3, p. 501-561, 発行日 1995 |
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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 | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
日本十進分類法 | ||||||
主題Scheme | NDC | |||||
主題 | 415 | |||||
Mathematical Reviews Number | ||||||
値 | MR1382519 | |||||
Mathmatical Subject Classification | ||||||
値 | 57M50(MSC1991) | |||||
Mathmatical Subject Classification | ||||||
値 | 53C20(MSC1991) | |||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
値 | 1995-02-24 |