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An SO(3)-version of 2-torsion instanton invariants
http://hdl.handle.net/2261/28090
http://hdl.handle.net/2261/280901113a214-434f-4cab-99ba-2be0fe033d99
名前 / ファイル | ライセンス | アクション |
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jms150204.pdf (271.4 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2009-10-16 | |||||
タイトル | ||||||
タイトル | An SO(3)-version of 2-torsion instanton invariants | |||||
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 |
Sasahira, Hirofumi
× Sasahira, Hirofumi |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | We construct an invariant for non-spin $4$-manifolds by using $2$-torsion cohomology classes of moduli spaces of instantons on $SO(3)$-bundles. The invariant is an $SO(3)$-version of Fintushel-Stern's $2$-torsion instanton invariant. We show that this $SO(3)$-torsion invariant is non-trivial for $2\CP^2 \# \barCP2$, while it is known that any known invariant of $2\CP^2 \# \barCP2$ coming from the Seiberg-Witten theory is trivial since $2\CP^2 \# \barCP2$ has a positive scalar curvature metric. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 15, 号 2, p. 257-289, 発行日 2008-10-16 |
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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 | ||||||
57R57 (MSC2000) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
2007-01-09 |