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TQFT for General Lie Algebras and Applications to Open 3-Manifolds
http://hdl.handle.net/2261/1373
http://hdl.handle.net/2261/13733ad94df5-4fd3-4f8e-b6f7-c63a6fb72ce2
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jms040105.pdf (567.8 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 | TQFT for General Lie Algebras and Applications to Open 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 |
Funar, Louis
× Funar, Louis |
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| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | We review Kohno's definition of 3-manifold invariants coming from the conformal field theory associated to a simple Lie algebra $g$ (and a level $k$) and extend it to a topological quantum field theory in dimension 3. As an application, some invariants at infinity of open 3-manifolds, derived from the TQFT, are considered. Explicit computations, using mapping class group representations, are performed for a series of Whitehead manifolds. An example of an uncountable family of pairwise non-homeomorphic contractible open 3-manifolds is given. | |||||
| 書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 4, 号 1, p. 121-181, 発行日 1997 |
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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 | ||||||
| MR1451305 | ||||||
| Mathmatical Subject Classification | ||||||
| 57M25(MSC1991) | ||||||
| Mathmatical Subject Classification | ||||||
| 57N10(MSC1991) | ||||||
| Mathmatical Subject Classification | ||||||
| 57M30(MSC1991) | ||||||
| Mathmatical Subject Classification | ||||||
| 81Q30(MSC1991) | ||||||
| Mathmatical Subject Classification | ||||||
| 81R10(MSC1991) | ||||||
| 出版者 | ||||||
| 出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
| 原稿受領日 | ||||||
| 1996-02-21 | ||||||
