JournalsjemsVol. 9, No. 4pp. 789–800

On the number of components of the symplectic representatives of the canonical class

  • Stefano Vidussi

    University of California, Riverside, United States
On the number of components of the symplectic representatives of the canonical class cover
Download PDF

Abstract

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

Cite this article

Stefano Vidussi, On the number of components of the symplectic representatives of the canonical class. J. Eur. Math. Soc. 9 (2007), no. 4, pp. 789–800

DOI 10.4171/JEMS/97