Moduli spaces of polarized irreducible symplectic manifolds are not necessarily connected

Abstract

We show that the moduli space of polarized irreducible symplectic manifolds of K3[n]K3^{[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 K3[n]K3^{[n]}-type.Comment: 17 pages, minor changes following referee's comment

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