English

On moduli spaces of symplectic forms

Symplectic Geometry 2007-05-23 v1 Algebraic Geometry

Abstract

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.

Keywords

Cite

@article{arxiv.math/0012096,
  title  = {On moduli spaces of symplectic forms},
  author = {Ivan Smith},
  journal= {arXiv preprint arXiv:math/0012096},
  year   = {2007}
}

Comments

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

R2 v1 2026-07-22T16:36:19.231Z