Lectures on Kahler Geometry - Andrei (Ecole Polytechnique Moroianu

Kahler geometry is of substantial interest to both mathematicians and physicists and this graduate text provides a self-contained introduction to the subject. Topics discussed include complex manifolds and holomorphic vector bundles; Kahler manifolds and Hodge and Dolbeault theories; compact Kahler manifolds and a proof of the famous Kahler identities.