Abstract
We determine the homotopy types of gauge groups of principle $G$-bundles over closed, connected nonorientable surfaces for $G=U(n)$ and $G$ a simply-connected, compact Lie group. Applications are made to moduli spaces of stable vector bundles.
Citation
Stephen Theriault. "The homotopy types of gauge groups of nonorientable surfaces and applications to moduli spaces." Illinois J. Math. 57 (1) 59 - 85, Spring 2013. https://doi.org/10.1215/ijm/1403534486
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