English

The hyperholomorphic line bundle

Differential Geometry 2013-06-19 v1

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.

Keywords

Cite

@article{arxiv.1306.4241,
  title  = {The hyperholomorphic line bundle},
  author = {Nigel Hitchin},
  journal= {arXiv preprint arXiv:1306.4241},
  year   = {2013}
}

Comments

To appear in the Proceedings of the Conference on Algebraic and Complex Geometry, Hanover, September 10-14 2012

R2 v1 2026-06-22T00:36:01.295Z