Bulletin of the Australian Mathematical Society

Research Article

Seiberg-Witten invariants of generalised rational blow-downs

Jongil Parka1

a1 Department of Mathematics Kon-kuk University Kwangjin-gu Mojin-dong 93-1, Seoul 143-701, Korea, e-mail: jipark@kkucc.konkuk.ac.kr

Abstract

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.

(Received December 04 1996)