Affiliation:
1. Mathematical Sciences, University of Southampton, Southampton SO17 1BJ, United Kingdom
Abstract
In this paper, we show that the gauge group of a principal [Formula: see text]-bundle over a compact Riemann surface decomposes up to homotopy as the product of factors, one of which is a corresponding gauge group for [Formula: see text] and the others are immediately recognizable spaces. Further, when [Formula: see text] is a prime [Formula: see text], the gauge group for [Formula: see text] decomposes as a product of immediately recognizable factors. These gauge groups have strong connections to moduli spaces of stable vector bundles.
Publisher
World Scientific Pub Co Pte Ltd