On the geography of symplectic 4-manifolds with divisible canonical class

Mathematics – Symplectic Geometry

Scientific paper

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48 pages, 1 figure

Scientific paper

In this article we consider a version of the geography question for
simply-connected symplectic 4-manifolds that takes into account the
divisibility of the canonical class as an additional parameter. We also find
new examples of 4-manifolds admitting several symplectic structures,
inequivalent under deformation and self-diffeomorphisms of the manifold.

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