We present a novel approach to the study of Yang–Mills instantons on quaternionic Kähler manifolds, based on an extension of the harmonic space method of constructing instantons on hyperkähler manifolds. Our results establish a bijection between local equivalence classes of instantons on quaternionic Kähler manifolds M and equivalence classes of certain holomorphic maps on an appropriate SL 2(C) -bundle over the Swann bundle of M.
Devchand, C., Pontecorvo, M., Spiro, A. (2020). Hyperkähler cones and instantons on quaternionic Kähler manifolds. ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 58(3), 291-323 [10.1007/s10455-020-09726-5].