TL;DR
This paper investigates the properties and transformations of the hyperholomorphic line bundle on hyperkaehler manifolds with circle actions, focusing on its behavior under hyperkaehler quotients and applications to ALE spaces and coadjoint orbits.
Contribution
It provides new insights into the transformation behavior of the hyperholomorphic line bundle under hyperkaehler quotients and explores applications to specific geometric structures.
Findings
Transformation rules for the hyperholomorphic line bundle under hyperkaehler quotients
Application of the theory to ALE spaces
Application of the theory to coadjoint orbits
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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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Geometry and complex manifolds