Homotopy types of gauge groups over Riemann surfaces

Masaki Kameko; Daisuke Kishimoto; Masahiro Takeda

doi:10.2140/agt.2023.23.2309

Homotopy types of gauge groups over Riemann surfaces

Algebraic Topology 2023-08-02 v1

Authors: 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.

Keywords

gauge groups riemann surfaces principal bundles homotopy types compact lie groups moduli spaces stable vector bundles

Cite

@article{arxiv.2108.00143,
  title  = {Homotopy types of gauge groups over Riemann surfaces},
  author = {Masaki Kameko and Daisuke Kishimoto and Masahiro Takeda},
  journal= {arXiv preprint arXiv:2108.00143},
  year   = {2023}
}

Comments

15 pages. Comments welcome

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