HOMOTOPY DECOMPOSITIONS OF GAUGE GROUPS OVER RIEMANN SURFACES AND APPLICATIONS TO MODULI SPACES

DOI10.1142/S0129167X11007690zbMath1246.55006MaRDI QIDQ3110899

Stephen D. Theriault

Publication date: 16 January 2012

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

zbMATH Keywords

homotopy typemoduli spaceRiemann surfacegauge group

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Yang-Mills and other gauge theories in quantum field theory (81T13) Loop spaces (55P35)

Related Items (6)

Homotopy decompositions of PU(n)-gauge groups over Riemann surfaces ⋮ Homotopy decompositions of gauge groups over real surfaces ⋮ Homotopy types of gauge groups over Riemann surfaces ⋮ Homotopy types of \(\mathrm{Spin}^{\mathrm{c}} (n)\)-gauge groups over \(S^4\) ⋮ Homotopy decompositions of stable gauge groups ⋮ The homotopy types of gauge groups of nonorientable surfaces and applications to moduli spaces

Cites Work

• Odd primary homotopy decompositions of gauge groups
• Homotopy groups of moduli spaces of representations
• 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
• Groupes d'homotopie et classes de groupes abéliens
• Compositional Methods in Homotopy Groups of Spheres. (AM-49)
• Homotopy Commutativity in Localized Groups
• Function spaces related to gauge groups
• The Yang-Mills equations over Riemann surfaces

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