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

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

2006-11-14

arxiv.org/abs/math/0611411v1

Mathematics

Geometric Topology

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

Scientific paper

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.

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