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- W3003648149 abstract "This chapter uses the notion of DG categories to study the curvature of a connection including the Bianchi identities for bimodule connections. We thereby provide a geometric approach to the Chern-Connes pairing more in line with Chern’s approach to characteristic classes in the classical case. We then study the cohomology of Hopf algebras and of differential sheaves, formulated as modules equipped with flat connections. We give analogues of classical spectral sequences, including the Leray-Serre spectral sequence of a fibration. We conclude with positive maps and Hilbert C*-modules and extend the idea of a bimodule as a generalised morphism between algebras to a differential setting." @default.
- W3003648149 created "2020-02-07" @default.
- W3003648149 creator A5037523032 @default.
- W3003648149 creator A5074290225 @default.
- W3003648149 date "2020-01-01" @default.
- W3003648149 modified "2023-09-27" @default.
- W3003648149 title "Curvature, Cohomology and Sheaves" @default.
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