Hyperkahler cones and instantons on quaternionic Kahler manifolds

摘要

We present a novel approach to the study of Yang-Mills instantons on quaternionic Kahler manifolds, based on an extension of the harmonic space method of constructing instantons on hyperkahler manifolds. Our results establish a bijection between local equivalence classes of instantons on quaternionic Kahler manifolds M and equivalence classes of certain holomorphic maps on an appropriate SL2(C)-bundle over the Swann bundle of M.