The hyperholomorphic line bundle

Nigel Hitchin

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arXiv · 1306.4241

The hyperholomorphic line bundle

Nigel Hitchin

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Abstract

We study the hyperholomorphic line bundle on a hyperkaehler manifold with circle action introduced by A Haydys, and in particular show how it transforms under a hyperkaehler quotient. Applications include ALE spaces and coadjoint orbits.

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Nigel Hitchin. 2013-06-18. The hyperholomorphic line bundle. https://arxiv.org/abs/1306.4241

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