Superconnection character forms and the Cayley transform

DOI10.1016/0040-9383(88)90040-7zbMath0671.57013OpenAlexW2023170243MaRDI QIDQ1119932

Daniel Quillen

Publication date: 1988

Published in: Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0040-9383(88)90040-7

zbMATH Keywords

de Rham cohomologyunitary operatorCayley transformSchatten classBanach manifoldsde Rham theoremsuper vector bundleChern character classclassifying spaces for K-theoryGrassmannian of a Hilbert spaceinvariant character formsskew adjoint operatorsuperconnection character formuniversal superconnection character form

Mathematics Subject Classification ID

Stable classes of vector space bundles in algebraic topology and relations to (K)-theory (55R50) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Characteristic classes and numbers in differential topology (57R20) de Rham theory in global analysis (58A12) Connections (general theory) (53C05) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Fiber bundles in algebraic topology (55R10)

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