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

Stefano Vidussi

math.GTarXiv:math/0611411

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.

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