The homotopy types of \(\mathrm{SO}(4)\)-gauge groups

DOI10.1007/s40879-021-00453-0zbMath1471.55011OpenAlexW3158716522MaRDI QIDQ2049067

Ingrid Membrillo-Solis, Stephen D. Theriault, Daisuke Kishimoto

Publication date: 24 August 2021

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40879-021-00453-0

zbMATH Keywords

homotopy typegauge groupSO(4)

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Classification of homotopy type (55P15) Embeddings in differential topology (57R40) Embeddings and immersions in PL-topology (57Q35)

Related Items (2)

Homotopy types of gauge groups over Riemann surfaces ⋮ Homotopy types of \(\mathrm{Spin}^{\mathrm{c}} (n)\)-gauge groups over \(S^4\)

Cites Work

• The homotopy types of \(U(n)\)-gauge groups over \(S^4\) and \(\mathbb{C}P^2\)
• The homotopy types of Sp(2)-gauge groups
• The homotopy types of \(G_{2}\)-gauge groups
• The homotopy types of \(\mathrm{PU}(3)\)- and \(\mathrm{PSp}(2)\)-gauge groups
• On products in homotopy groups
• Counting Homotopy Types of Gauge Groups
• A note on the homotopy type of certain gauge groups
• The Yang-Mills equations over Riemann surfaces
• Unstable K¹-group and homotopy type of certain gauge groups
• Applications of Bundle Map Theory
• SAMELSON PRODUCTS OF SO(3) AND APPLICATIONS

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