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On moduli spaces of symplectic forms

Ivan Smith
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Abstract

We prove that, for any n, there are simply-connected four-manifolds which admit n-tuples of symplectic forms whose first Chern classes have pairwise different divisibilities in integral cohomology. It follows that the moduli space of symplectic forms modulo diffeomorphisms on such a manifold has at least n connected components.

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Ivan Smith. 2000-12-12. On moduli spaces of symplectic forms. https://arxiv.org/abs/math/0012096

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