String structures and the path fibration of a group

DOI10.1007/BF02102809zbMath0734.55006MaRDI QIDQ810933

Michael K. Murray, Alan L. Carey

Publication date: 1991

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

loop groupPontryagin classKac-Moody groupuniversal bundlepath fibration

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Loop groups and related constructions, group-theoretic treatment (22E67)

Related Items

COVER OF THE BROWNIAN BRIDGE AND STOCHASTIC SYMPLECTIC ACTION ⋮ Twistor spaces and spinors over loop spaces ⋮ STOCHASTIC PROCESSES ON CLASSIFYING SPACES AND STRING STRUCTURES ⋮ The caloron correspondence and higher string classes for loop groups ⋮ Integrability criterion for abelian extensions of Lie groups ⋮ CIRCLE ACTIONS, CENTRAL EXTENSIONS AND STRING STRUCTURES ⋮ Singular Integral Homology of the Stochastic Loop Space ⋮ Stochastic gauge transform of the string bundle ⋮ Hilbert Space of Spinor Fields Over the Free Loop Space ⋮ A unitary representation of the basical central extension of a loop group

Cites Work

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• Another construction of the central extension of the loop group
• String structures on loop bundles
• Some remarks on the Gribov ambiguity
• Complex Analytic Connections in Fibre Bundles
• The inverse function theorem of Nash and Moser