On moduli spaces of symplectic forms

Details On moduli spaces of symplectic forms On moduli spaces of symplectic forms

2000-12-12

arxiv.org/abs/math/0012096v1

Math. Res. Lett. Volume 7, Issue 5-6 (2000) p. 779-788

Mathematics

Symplectic Geometry

11 pages. One reference (footnote, p.2) added to published version

Scientific paper

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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