黎曼曲面上规范群的同伦类型

IF 0.6 3区数学 Q3 MATHEMATICS

Algebraic and Geometric Topology Pub Date : 2021-07-31 DOI:10.2140/agt.2023.23.2309

Masaki Kameko, D. Kishimoto, Masahiro Takeda

引用次数: 1

摘要

设$G$是一个与$\pi_1(G)\cong\mathbb{Z}$紧连通的李群。研究了黎曼曲面上主束$G$的规范群的同伦类型。这可以应用于黎曼曲面上稳定向量束模空间的同伦群的显式计算。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Homotopy types of gauge groups over Riemann surfaces

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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来源期刊

Algebraic and Geometric Topology 数学-数学

CiteScore

1.10

自引率

14.30%

发文量

审稿时长

6-12 weeks

期刊介绍： Algebraic and Geometric Topology is a fully refereed journal covering all of topology, broadly understood.