Loop spaces, characteristic classes and geometric quantization

zbMath0823.55002MaRDI QIDQ5906611

Jean-Luc Brylinski

Publication date: 21 November 1994

Published in: Progress in Mathematics (Search for Journal in Brave)

zbMATH Keywords

cohomologyKähler manifoldcurvaturequantizationconnectionscomplex structuresymplectic structuresheavesline bundlestorsorsfree loop spacesymplectomorphismsgerbestransgressionDeligne cohomologyLeray spectral sequenceCheeger-Simons differential characters3- curvatureChern-Cheeger-Simons classconnective structuredegree 3 cohomology theoryDirac magnetic monopoleDixmier-Douady sheaves of groupoidsinfinite-dimensional algebra bundlesKostant- Souriau central extension of the Lie algebra of Hamiltonian vector fieldsprojective Hilbert space bundlesRham cohomologysheaves of groupoidsspace of singular knots in a smooth 3- manifold

Mathematics Subject Classification ID

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