Homotopy decompositions of gauge groups over real surfaces

DOI10.2140/agt.2017.17.2429zbMath1376.55007arXiv1701.00430OpenAlexW3098543551MaRDI QIDQ2398924

Michael West

Publication date: 21 August 2017

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.00430

zbMATH Keywords

homotopy typeshomotopy groups of special spacesclassification of homotopy types

Mathematics Subject Classification ID

Klein surfaces (30F50) Classification of homotopy type (55P15) Homotopy groups of special spaces (55Q52)

Related Items (3)

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

Cites Work

• On the topology of real bundle pairs over nodal symmetric surfaces
• Cohomology of the moduli space of rank two, odd degree vector bundles over a real curve
• Odd primary homotopy decompositions of gauge groups
• The moduli space of stable vector bundles over a real algebraic curve
• Moduli spaces of vector bundles over a Klein surface
• On the homotopy groups of the classical groups
• Groupes d'homotopie et classes de groupes abéliens
• Moduli Spaces of Vector Bundles over a Real Curve: ℤ/2-Betti Numbers
• HOMOTOPY DECOMPOSITIONS OF GAUGE GROUPS OVER RIEMANN SURFACES AND APPLICATIONS TO MODULI SPACES
• A Normal form for a Matrix under the Unitary Congruence Group
• Function spaces related to gauge groups
• The Yang-Mills equations over Klein surfaces

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