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On moduli spaces of symplectic forms

Ivan Smith
2000 Mathematical Research Letters  
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.
doi:10.4310/mrl.2000.v7.n6.a10 fatcat:q4r2yru4rfa6bgpe54u6dvsw4y