Moduli spaces of polarized irreducible symplectic manifolds are not necessarily connected

الأصل · EN

We show that the moduli space of polarized irreducible symplectic manifolds of 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]-type.