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arXiv · 2108.00143

Homotopy types of gauge groups over Riemann surfaces

Masaki Kameko·Daisuke Kishimoto·Masahiro Takeda
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Abstract

Let $G$ be a compact connected Lie group with $\pi_1(G)\cong\mathbb{Z}$. We study the homotopy types of gauge groups of principal $G$-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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Masaki Kameko, Daisuke Kishimoto, Masahiro Takeda. 2021-07-31. Homotopy types of gauge groups over Riemann surfaces. https://doi.org/10.2140/agt.2023.23.2309

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