English

Extensions of Higgs Bundles

Algebraic Geometry 2007-05-23 v1 Differential Geometry

Abstract

We prove a Hitchin-Kobayashi correspondence for extensions of Higgs bundles. The results generalize known results for extensions of holomorphic bundles. Using Simpson's methods, we construct moduli spaces of stable objects. In an appendix we construct Bott-Chern forms for Higgs bundles

Keywords

Cite

@article{arxiv.math/0009044,
  title  = {Extensions of Higgs Bundles},
  author = {Steven B. Bradlow and Tomas L. Gomez},
  journal= {arXiv preprint arXiv:math/0009044},
  year   = {2007}
}

Comments

34 pages, 2 tables

R2 v1 2026-07-22T16:34:33.159Z