On the fundamental groups of moduli spaces of irreducible SU(2)-connections over closed 4-manifolds

DOI10.3792/pjaa.66.89zbMath0704.57010OpenAlexW2088361766MaRDI QIDQ917094

Hiroshi Ohta

Publication date: 1990

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.66.89

zbMATH Keywords

fundamental groupintersection formgauge groupsecond Chern classconnected oriented smooth closed 4-manifoldirreducible connectionsmoduli space of irreducible SU(2)-connectionsprincipal SU(2)space of smooth connections

Mathematics Subject Classification ID

Group actions and symmetry properties (58D19) Topology of vector bundles and fiber bundles (57R22) Connections (general theory) (53C05) Manifolds of mappings (58D15) Homotopy and topological questions for infinite-dimensional manifolds (58B05) Fiber bundles in algebraic topology (55R10)

Related Items (1)

The rational homology ring of the based loop space of the gauge groups and the spaces of connections on a four-manifold

Cites Work

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• Connections, cohomology and the intersection forms of 4-manifolds
• An application of gauge theory to four dimensional topology
• The Yang-Mills equations over Riemann surfaces

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