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arxiv: math/0012096 · v1 · submitted 2000-12-12 · 🧮 math.SG · math.AG

On moduli spaces of symplectic forms

classification 🧮 math.SG math.AG
keywords formssymplecticmoduliadmitchernclassescohomologycomponents
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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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