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Remarks on higher type adjunction Inequalities of 4-manifolds of non-simple type
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Abstract
Recently P. Ozsv' ath and Z. Szab' o proved higher typeadjunction inequalities for embedded surfaces in 4-manifolds ofnon-simple type. The aim of this short paper is to give a simpleand direct proof of such higher type adjunction inequalities forsmoothly embedded surfaces with emph{negative} self-intersectionnumber in smooth 4-manifolds of non-simple type. This will beachieved through a relation between the Seiberg-Witten invariantsused to get adjunction inequalities of 4-manifolds of simple typeand a blow-up formula.
관련 논문AI추천
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