1 results
Singular G-Monopoles on S1 × Σ
-
- Journal:
- Canadian Journal of Mathematics / Volume 68 / Issue 5 / 01 October 2016
- Published online by Cambridge University Press:
- 20 November 2018, pp. 1096-1119
- Print publication:
- 01 October 2016
-
- Article
-
- You have access
- Export citation
-
This article provides an account of the functorial correspondence between irreducible singular
$G$-monopoles on 
${{S}^{1}}\,\times \,\sum $ and 
$\vec{t}$-stable meromorphic pairs on 
$\sum $. A theorem of B.Charbonneau and J. Hurtubise is thus generalized here from unitary to arbitrary compact, connected gauge groups.
The required distinctions and similarities for unitary versus arbitrary gauge are clearly outlined, and many parallels are drawn for easy transition. Once the correspondence theorem is complete, the spectral decomposition is addressed.
