Mathematical Research Letters

Volume 7 (2000)

Number 6

On moduli spaces of symplectic forms

Pages: 779 – 788



Ivan Smith (New College, Oxford)


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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