Antisymplectic involutions of holomorphic symplectic manifolds

Abstract

Let X be a holomorphic symplectic manifold, of dimension divisible by 4, and s an antisymplectic involution of X . The fixed locus F of s is a Lagrangian submanifold of X ; we show that its Â-genus is 1. As an application, we determine all possibilities for the Chern numbers of F when X is a deformation of the Hilbert square of a K3 surface.

Final version, accepted for publication by the Journal of Topology

References in corpus (1)

• The Chow ring of double EPW sextics

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