On the Number of Components of the Symplectic Representatives of the Canonical Class

Abstract

In this paper we show that there exists a family of simply connected, symplectic 4-manifolds such that the (Poincare dual of the) canonical class admits both connected and disconnected symplectic representatives. This answers a question raised by Fintushel and Stern.

arXiv comment11 pages, 5 figures. To appear in J.Eur.Math.Soc