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Seiberg-Witten invariants of generalised rational blow-downs

Published online by Cambridge University Press:  17 April 2009

Jongil Park
Jongil Park
Affiliation:
Department of MathematicsKon-kuk UniversityKwangjin-gu Mojin-dong 93-1, Seoul 143-701, Korea, e-mail: jipark@kkucc.konkuk.ac.kr
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Abstract

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One of the main problems in Seiberg-Witten theory is to find (SW)-basic classes and their invariants for a given smooth 4-manifold. The rational blow-down procedure introduced by Fintushel and Stern is one way to compute these invariants for some smooth 4-manifolds. In this paper, we extend their results to the general case. That is, we find (SW)-basic classes and Seiberg-Witten invariants for generalised rational blow-down 4-manifolds by using index computations.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 56 , Issue 3 , December 1997 , pp. 363 - 384
Copyright
Copyright © Australian Mathematical Society 1997

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