Canadian Mathematical Society
Canadian Mathematical Society
  location:  Publicationsjournals
Search results

Search: All articles in the CJM digital archive with keyword holomorphic vector bundle

  Expand all        Collapse all Results 1 - 2 of 2

1. CJM 2014 (vol 66 pp. 961)

Baird, Thomas
Moduli Spaces of Vector Bundles over a Real Curve: $\mathbb Z/2$-Betti Numbers
Moduli spaces of real bundles over a real curve arise naturally as Lagrangian submanifolds of the moduli space of semi-stable bundles over a complex curve. In this paper, we adapt the methods of Atiyah-Bott's ``Yang-Mills over a Riemann Surface'' to compute $\mathbb Z/2$-Betti numbers of these spaces.

Keywords:cohomology of moduli spaces, holomorphic vector bundles
Categories:32L05, 14P25

2. CJM 2005 (vol 57 pp. 871)

Zhang, Xi
Hermitian Yang-_Mills--Higgs Metrics on\\Complete Kähler Manifolds
In this paper, first, we will investigate the Dirichlet problem for one type of vortex equation, which generalizes the well-known Hermitian Einstein equation. Secondly, we will give existence results for solutions of these vortex equations over various complete noncompact K\"ahler manifolds.

Keywords:vortex equation, Hermitian Yang--Mills--Higgs metric,, holomorphic vector bundle, Kähler manifolds
Categories:58E15, 53C07

© Canadian Mathematical Society, 2014 :