The canonical class of a symplectic four manifold
Authors : - R. Fintushel-r. Stern:
Pages : 137-146
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Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :In this article we present examples of simply connected symplectic 4-manifolds X whose canonical classes are represented by complicated disjoint unions of symplectic submanifolds of X: Theorem. Given finite collections {gi}, {mi}, i=1,...,n, of positive integers, there is a minimal symplectic simply connected 4-manifold X whose canonical class is represented by a disjoint union of embedded symplectic surfaces K ~ Sg1,1 « ... « Sg1,m1 « ... « Sgn,1 «... « S{gn,mn} where Sgi,j is a surface of genus gi. Furthermore, c12(X) = ch(X) - (2+ b) where b= S{i=1}n mi is the total number of connected components of the symplectic representative of the canonical class.Keywords : Turk. J. Math., 25, (2001), 137-146. Full text: pdf Other articles published in the same issue: Turk. J. Math., vol.25, iss.1.