Publication date:
April 2017
Source:Differential Geometry and its Applications, Volume 51
Author(s): Eric O. Korman
Generalizing work of Haydys [7] and Hitchin [8], we prove the existence of a hyperholomorphic line bundle on certain hyperkähler manifolds that do not necessarily admit an $S^1$ action. As examples, we consider the moduli space of (non-strongly) parabolic Higgs bundles, the moduli space of solutions to Nahm's equations, and Nakajima quiver varieties.