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Taut foliations of torus knot complements
http://hdl.handle.net/2261/20681
http://hdl.handle.net/2261/20681ae49cdc2-c6bc-4e1c-a20b-993bb627d70a
名前 / ファイル | ライセンス | アクション |
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jms140102.pdf (265.9 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2008-10-14 | |||||
タイトル | ||||||
タイトル | Taut foliations of torus knot complements | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
Nakae, Yasuharu
× Nakae, Yasuharu |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | We show that for any torus knot $K(r,s)$, $|r|>s>0$, there is a family of taut foliations of the complement of $K(r,s)$, which realizes all boundary slopes in $(-\infty, 1)$ when $r>0$, or $(-1,\infty)$ when $r<0$. This theorem is proved by a construction of branched surfaces and laminations which are used in the Roberts paper~\cite{RR01a}. Applying this construction to a fibered knot ${K}'$, we also show that there exists a family of taut foliations of the complement of the cable knot $K$ of ${K}'$ which realizes all boundary slopes in $(-\infty,1)$ or $(-1,\infty)$. Further, we partially extend the theorem of Roberts to a link case. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 14, 号 1, p. 31-67, 発行日 2007-03-20 |
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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 | 415 | |||||
主題Scheme | NDC | |||||
Mathmatical Subject Classification | ||||||
57(M25(MSC2000) | ||||||
Mathmatical Subject Classification | ||||||
57R30(MSN2000) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
2005-08-14 |