Homotopy decompositions of PU(n)-gauge groups over Riemann surfaces

DOI10.1142/S0129167X22500252zbMath1486.55014OpenAlexW4213297730WikidataQ114073224 ScholiaQ114073224MaRDI QIDQ5061483

Stephen D. Theriault

Publication date: 11 March 2022

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

Full work available at URL: https://doi.org/10.1142/s0129167x22500252

zbMATH Keywords

homotopy typeRiemann surfacegauge groupprincipal bundlehomotopy decompositionSamelson productprojective unitary group

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Classification of homotopy type (55P15) Function spaces in general topology (54C35) Yang-Mills and other gauge theories in quantum field theory (81T13) Loop spaces (55P35) Whitehead products and generalizations (55Q15)

Cites Work

• A note on the Samelson product in the classical groups
• Mod \(p\) decompositions of non-simply connected Lie groups
• Odd primary homotopy decompositions of gauge groups
• Homotopy groups of moduli spaces of representations
• An application of transversality to the topology of the moduli space of stable bundles
• Homotopy types of gauge groups of \(\mathrm{PU}(p)\)-bundles over spheres
• Homotopy decompositions of gauge groups over real surfaces
• The homotopy types of gauge groups of nonorientable surfaces and applications to moduli spaces
• The cohomology of quotients of classical groups
• HOMOTOPY DECOMPOSITIONS OF GAUGE GROUPS OVER RIEMANN SURFACES AND APPLICATIONS TO MODULI SPACES
• Compositional Methods in Homotopy Groups of Spheres. (AM-49)
• Primary homotopy theory
• Function spaces related to gauge groups
• The Yang-Mills equations over Riemann surfaces
• Applications of Bundle Map Theory
• The evaluation map and E H P sequences

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