Abstract
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Let
be a compact
connected Lie group with
.
We study the homotopy types of gauge groups of principal
–bundles
over Riemann surfaces. This can be applied to an explicit computation of the
homotopy groups of the moduli spaces of stable vector bundles over Riemann
surfaces.
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Keywords
gauge group, Riemann surface, stable vector bundle,
Samelson product
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Mathematical Subject Classification
Primary: 57S05
Secondary: 55Q15
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Publication
Received: 3 August 2021
Revised: 6 February 2022
Accepted: 8 March 2022
Published: 25 July 2023
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