Illinois Journal of Mathematics

The homotopy types of gauge groups of nonorientable surfaces and applications to moduli spaces

Stephen Theriault

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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.

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Illinois J. Math., Volume 57, Number 1 (2013), 59-85.

First available in Project Euclid: 23 June 2014

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Zentralblatt MATH identifier

Primary: 55P15: Classification of homotopy type 81T13: Yang-Mills and other gauge theories [See also 53C07, 58E15]


Theriault, Stephen. The homotopy types of gauge groups of nonorientable surfaces and applications to moduli spaces. Illinois J. Math. 57 (2013), no. 1, 59--85. doi:10.1215/ijm/1403534486.

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