Moduli spaces of polarized irreducible symplectic manifolds are not necessarily connected

Abstract

We show that the moduli space of polarized irreducible symplectic manifolds of $K{3}^{[n]}$-type, of fixed polarization type, is not always connected. This can be derived as a consequence of Eyal Markman's characterization of polarized parallel-transport operators of $K{3}^{[n]}$-type.

arXiv comment17 pages, minor changes following referee's comments