English

The moduli space of flat G-bundles on a compact hyper-Kahler manifold

Differential Geometry 2007-05-23 v1 Symplectic Geometry

Abstract

We prove that if G is a compact connected Lie group and X is a compact connected hyper-Kahler manifold, then the L^2 metric on (the smooth locus of) the moduli space of flat G-bundles on X is a hyper-Kahler metric.

Keywords

Cite

@article{arxiv.math/0506175,
  title  = {The moduli space of flat G-bundles on a compact hyper-Kahler manifold},
  author = {Mohammed Abouzaid and Mitya Boyarchenko},
  journal= {arXiv preprint arXiv:math/0506175},
  year   = {2007}
}

Comments

LaTeX, 4 pages. All comments are welcome