The geometry of degree-four characteristic classes and of line bundles on loop spaces. I

DOI10.1215/S0012-7094-94-07518-2zbMath0844.57025OpenAlexW1979359102MaRDI QIDQ1341283

Jean-Luc Brylinski, Dennis A. McLaughlin

Publication date: 29 August 1996

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-94-07518-2

zbMATH Keywords

conformal field theoryChern-Simons theoryloop groupsfree loop spacecharacteristic class

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07)

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Cites Work

• Kac-Moody groups, topology of the Dirac determinant bundle, and fermionization
• Closed forms on symplectic fibre bundles
• Orientation and string structures on loop space
• Topological gauge theories and group cohomology
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• Hodge cycles, motives, and Shimura varieties
• Universal extensions and one dimensional crystalline cohomology
• Higher logarithms
• The geometry of two-dimensional symbols
• Théorie de Hodge. III
• Complex Analytic Connections in Fibre Bundles
• Etale Homotopy of Simplicial Schemes. (AM-104)
• Quantization and unitary representations
• Loop spaces, characteristic classes and geometric quantization
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