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

  • Stefano Vidussi

    University of California, Riverside, United States

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