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arXiv · 1507.05951

A hyperholomorphic line bundle on certain hyperk\"ahler manifolds not admitting an $S^1$-symmetry

Eric O. Korman
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Abstract

Generalizing work of Haydys and Hitchin, we prove the existence of a hyperholomorphic line bundle on certain hyperk\"ahler 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.

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Eric O. Korman. 2015-07-21. A hyperholomorphic line bundle on certain hyperk\"ahler manifolds not admitting an $S^1$-symmetry. https://arxiv.org/abs/1507.05951

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