The homotopy types of gauge groups of nonorientable surfaces and applications to moduli spaces

zbMath1298.55006MaRDI QIDQ2509814

Stephen D. Theriault

Publication date: 30 July 2014

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

Full work available at URL: https://projecteuclid.org/euclid.ijm/1403534486

zbMATH Keywords

homotopy typemoduli spacegauge groupnonorientable surface

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Classification of homotopy type (55P15) Yang-Mills and other gauge theories in quantum field theory (81T13) Topology of vector bundles and fiber bundles (57R22)

Related Items (2)

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

Cites Work

• Yang-Mills connections on nonorientable surfaces
• Odd primary homotopy decompositions of gauge groups
• Yang-Mills theory over surfaces and the Atiyah-Segal theorem
• On the cohomology groups of moduli spaces of vector bundles on curves
• Intersection theory on moduli spaces of holomorphic bundles of arbitrary rank on a Riemann surface
• An application of transversality to the topology of the moduli space of stable bundles
• Reduced product spaces
• HOMOTOPY DECOMPOSITIONS OF GAUGE GROUPS OVER RIEMANN SURFACES AND APPLICATIONS TO MODULI SPACES
• PROPERTIES OF CERTAIN H-SPACES
• Yang-Mills connections on orientable and nonorientable surfaces
• Function spaces related to gauge groups
• The Yang-Mills equations over Riemann surfaces

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