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arXiv · 1109.0175

Moduli spaces of polarized irreducible symplectic manifolds are not necessarily connected

Apostol Apostolov
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Abstract

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.

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Apostol Apostolov. 2011-09-01. Moduli spaces of polarized irreducible symplectic manifolds are not necessarily connected. https://arxiv.org/abs/1109.0175

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