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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 |
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jms040105.pdf (567.8 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 | 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 | 415 | |||||
主題Scheme | NDC | |||||
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 |