English

Generalized holomorphic bundles and the B-field action

Differential Geometry 2011-03-07 v1

Abstract

On a generalized complex manifold there is an associated definition of a generalized holomorphic bundle, introduced by Gualtieri. This notion in the case of an ordinary complex structure yields an object which we call a co-Higgs bundle and we consider the B-field action of a closed form of type (1,1), both local and global. The effect makes contact with both Nahm's equations and holomorphic gerbes.

Keywords

Cite

@article{arxiv.1010.0207,
  title  = {Generalized holomorphic bundles and the B-field action},
  author = {Nigel Hitchin},
  journal= {arXiv preprint arXiv:1010.0207},
  year   = {2011}
}

Comments

19 pages

R2 v1 2026-06-21T16:22:31.536Z