English

Stable bundles and polyvector fields

Algebraic Geometry 2015-03-17 v1

Abstract

We introduce an algebra of Schouten-commuting holomorphic polyvector fields on the moduli space of stable G-bundles over a curve by using invariant forms on the Lie algebra. The generators begin in degree three -- we prove a vanishing theorem for degree two in the case of G=GL(n).

Keywords

Cite

@article{arxiv.1004.5313,
  title  = {Stable bundles and polyvector fields},
  author = {Nigel Hitchin},
  journal= {arXiv preprint arXiv:1004.5313},
  year   = {2015}
}

Comments

To appear in the Proceedings of the Hannover conference on "Complex and Differential Geometry" 14-18 September 2009.

R2 v1 2026-06-21T15:16:31.303Z