Mathematical Research Letters

Volume 7, Issue 6, November 2000 pp. 779-788.

On moduli spaces of symplectic forms

Authors: Ivan Smith
Author institution: New College, Oxford

Summary: We prove that 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 spaces of symplectic forms modulo diffeomorphisms on the manifolds are disconnected.

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