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