The geometry of degree-4 characteristic classes and of line bundles on loop spaces. II

DOI10.1215/S0012-7094-96-08305-2zbMath0864.57026MaRDI QIDQ1918372

Jean-Luc Brylinski, Dennis A. McLaughlin

Publication date: 22 June 1997

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

zbMATH Keywords

Riemann surfacesChern classcompact Lie groupholomorphic line bundleWeil reciprocity lawholomorphic fibration2-gerbeSegal-Witten reciprocity law

Mathematics Subject Classification ID

Homology and cohomology of Lie groups (57T10) Embeddings in differential topology (57R40) Holomorphic bundles and generalizations (32L05)

Related Items

Strictification of étale stacky Lie groups ⋮ Čech cocycles for characteristic classes ⋮ An invitation to higher gauge theory ⋮ Principal \(\infty\)-bundles: presentations ⋮ Categorical tori ⋮ A LOOP SPACE FORMULATION FOR GEOMETRIC LIFTING PROBLEMS ⋮ 2-gerbes bound by complexes of gr-stacks, and cohomology ⋮ Hermitian-holomorphic (2)-gerbes and tame symbols ⋮ The Canonical 2-Gerbe of a Holomorphic Vector Bundle ⋮ Central extensions of gauge transformation groups of higher Abelian gerbes ⋮ Relative gerbes ⋮ String connections and Chern-Simons theory ⋮ On Hermitian-holomorphic classes related to uniformization, the dilogarithm, and the Liouville action

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