Moduli spaces of hyperkaehler manifolds and mirror symmetry
Abstract
Description
These are notes of my lectures given at the school on intersection theory and moduli at the ICTP, Trieste. We construct moduli spaces of K3 surfaces and higherdimensional hyperkaehler manifolds, including moduli spaces of (2,2)-conformal field theories associated to hyperkaehler manifolds, and describe their period domains. Recent results on these manifolds are discussed from the moduli space point of view. The second goal is to present a detailed account of mirror symmetry for K3 surfaces. Arguments due to Aspinwall and Morrison allow one to explain various versions of mirror symmetry (e.g. for lattice polarized or elliptic K3 surfaces) by the same general principle.
A section is added in which the Mukai lattice is used to explain better some of the formulae. This is the final version
A section is added in which the Mukai lattice is used to explain better some of the formulae. This is the final version