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.

Hyperkähler cones and instantons on quaternionic Kähler manifolds

Spiro A.
2020

Abstract

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11581/462293
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