Mod 2 Seiberg-Witten invariants of real algebraic surfaces with the opposite orientation

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dc.contributor.authorKim, Jin-Hongko
dc.date.accessioned2013-03-07T18:36:40Z-
dc.date.available2013-03-07T18:36:40Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued2007-
dc.identifier.citationJOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, v.47, no.1, pp.1 - 14-
dc.identifier.issn0023-608X-
dc.identifier.urihttp://hdl.handle.net/10203/90953-
dc.description.abstractLet X be a closed oriented smooth 4-manifold of simple type with b(1) (X) = 0 and b(+) (X) >= 2, and let tau : X -> X generate an involution preserving a spin(c) structure c. Under certain topological conditions we show in this paper that the Seiberg-Witten invariant SW(X, c) is zero modulo 2. This then enables us to investigate the mod 2 Seiberg-Witten invariants of real algebraic surfaces with the opposite orientation, which is motivated by the Kotschick's conjecture. The basic strategy is to use the new interpretation of the Seiberg-Witten invariants as a certain equivariant degree of a map constructed from the Seiberg-Witten equations and the generalization of the results of Fang.-
dc.languageEnglish-
dc.publisherKINOKUNIYA CO LTD-
dc.subjectSPIN 4-MANIFOLDS-
dc.subjectCOMPLEX-SURFACES-
dc.titleMod 2 Seiberg-Witten invariants of real algebraic surfaces with the opposite orientation-
dc.typeArticle-
dc.identifier.wosid000249138400001-
dc.identifier.scopusid2-s2.0-35348936135-
dc.type.rimsART-
dc.citation.volume47-
dc.citation.issue1-
dc.citation.beginningpage1-
dc.citation.endingpage14-
dc.citation.publicationnameJOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY-
dc.contributor.localauthorKim, Jin-Hong-
dc.type.journalArticleArticle-
dc.subject.keywordPlusSPIN 4-MANIFOLDS-
dc.subject.keywordPlusCOMPLEX-SURFACES-
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