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Homotopy types of gauge
groups over Riemann surfaces
Masaki Kameko, Daisuke Kishimoto and Masahiro Takeda |
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Algebraic & Geometric Topology 23 (2023) 2309–2327
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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. |
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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References |
Publication
Received: 3 August 2021
Revised: 6 February 2022
Accepted: 8 March 2022
Published: 25 July 2023
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Authors |
| Masaki Kameko | |
| Department of Mathematical
Sciences Shibaura Institute of Technology Saitama Japan |
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| Daisuke Kishimoto | |
| Faculty of Mathematics Kyushu University Fukuoka Japan |
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| Masahiro Takeda | |
| Department of Mathematics Kyoto University Kyoto Japan |
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| © 2023 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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