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On Volumes and Chern-Simons Invariants of Geometric 3-Manifolds
http://hdl.handle.net/2261/1377
http://hdl.handle.net/2261/137704f221fd-556d-4283-941f-f6f98dd86638
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jms030310.pdf (185.8 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2008-03-04 | |||||
| タイトル | ||||||
| タイトル | On Volumes and Chern-Simons Invariants of Geometric 3-Manifolds | |||||
| 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 |
Hilden, Hugh M.
× Hilden, Hugh M. |
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| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | Let $M_n(K)$ be the hyperbolic 3-manifold obtained by $n$-cyclic covering of $S^3$ branched over a hyperbolic knot $K$. A method to compute the volume and the Chern-Simons invariant of $M_n(K)$ is given. The value of the volume of $M_n$ is $n$ times the value of the volume of the corresponding hyperbolic orbifold. This volume can be obtained by appying the Schlaffli Formula for the volume to the cone-manifold family, $(K,α )$, with singularity $K$. The same approch is followed for the Chern-Simons invariant, after proving a ""Schlaffli Formula"" for a generalized Chern-Simons function on the family of cone-manifold structures $(K,α )$. | |||||
| 書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 3, 号 3, p. 723-744, 発行日 1996 |
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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 | ||||||
| MR1432115 | ||||||
| Mathmatical Subject Classification | ||||||
| 57M50(MSC1991) | ||||||
| Mathmatical Subject Classification | ||||||
| 51M10(MSC1991) | ||||||
| Mathmatical Subject Classification | ||||||
| 51M25(MSC1991) | ||||||
| 出版者 | ||||||
| 出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
| 原稿受領日 | ||||||
| 1996-04-08 | ||||||
