LOOP GROUPS, STRING CLASSES AND EQUIVARIANT COHOMOLOGY

DOI10.1017/S1446788711001066zbMath1222.55011arXiv1005.4243MaRDI QIDQ3011601

Raymond F. Vozzo

Publication date: 29 June 2011

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.4243

zbMATH Keywords

equivariant cohomologyloop groupsstring classCaloron correspondence

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Characteristic classes and numbers in differential topology (57R20) Fiber bundles in algebraic topology (55R10)

Related Items (1)

The general caloron correspondence

Cites Work

• The Atiyah algebroid of the path fibration over a Lie group
• Kac-Moody monopoles and periodic instantons
• The caloron correspondence and higher string classes for loop groups
• The moment map and equivariant cohomology
• Superconnections, Thom classes, and equivariant differential forms
• Universal connections
• Curvature and characteristic classes
• The universal Gerbe, Dixmier-Douady class, and gauge theory
• Group cohomology construction of the cohomology of moduli spaces of flat connections on 2-manifolds
• Higgs fields, bundle gerbes and string structures
• CIRCLE ACTIONS, CENTRAL EXTENSIONS AND STRING STRUCTURES
• Existence of Universal Connections
• Existence of Universal Connections II

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