The homotopy types of \(U(n)\)-gauge groups over lens spaces

DOI10.1007/s40590-021-00313-7zbMath1473.55006arXiv1907.02930OpenAlexW3143352310MaRDI QIDQ2043525

Ingrid Membrillo-Solis, Stephen D. Theriault

Publication date: 2 August 2021

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.02930

zbMATH Keywords

homotopy typegauge grouplens space

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Function spaces in general topology (54C35) Yang-Mills and other gauge theories in quantum field theory (81T13)

Related Items

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

Cites Work

• Homotopy types of gauge groups related to \(S^{3}\)-bundles over \(S^{4}\)
• Self-equivalences of pseudo-projective planes
• Characteristic Classes and Homogeneous Spaces, I
• A topological proof of theorems of Bott and Borel-Hirzeburch for homotopy groups of unitary groups
• Function spaces related to gauge groups
• The Yang-Mills equations over Riemann surfaces
• Thom Complexes
• Applications of Bundle Map Theory