We show that if $X$ is a closed spin 4-manifold which has the same rational cohomology ring as $K3 \# K3$, then the stable-homotopy Seiberg-Witten invariant is non-trivial for every spin structure on Xνll. As an application we obtain a generalized adjunction inequality for such manifolds.
雑誌名
Journal of mathematical sciences, the University of Tokyo
巻
8
号
1
ページ
157 - 176
発行年
2001
ISSN
13405705
書誌レコードID
AA11021653
フォーマット
application/pdf
日本十進分類法
415
Mathematical Reviews Number
MR1818910
Mathmatical Subject Classification
57R57(MSC2000)
出版者
Graduate School of Mathematical Sciences, The University of Tokyo
原稿受領日
2000-08-28
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Stable-homotopy Seiberg-Witten Invariants for Rational Cohomology K3\#K3's
jms080109.pdf
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