Geometric construction of Hopf cyclic characteristic classes

DOI10.1016/j.aim.2015.02.003zbMath1397.57047arXiv1404.5936OpenAlexW2963812593MaRDI QIDQ2359941

Henri Moscovici

Publication date: 23 June 2017

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

Full work available at URL: https://arxiv.org/abs/1404.5936

zbMATH Keywords

Hopf algebrasHopf cyclic cohomologycharacteristic classes of foliations

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) (K)-theory and homology; cyclic homology and cohomology (19D55) Exotic index theories on manifolds (58J22) Cohomology of classifying spaces for pseudogroup structures (Spencer, Gelfand-Fuks, etc.) (58H10) Cohomology of Lie (super)algebras (17B56) Classifying spaces for foliations; Gelfand-Fuks cohomology (57R32) Hopf algebras and their applications (16T05)

Related Items (7)

Hopf-cyclic cohomology of the Connes-Moscovici Hopf algebras with infinite dimensional coefficients ⋮ Cyclic homology and group actions ⋮ Hierarchies of holonomy groupoids for foliated bundles ⋮ Hopf algebras and universal Chern classes ⋮ The holonomy groupoids of singularly foliated bundles ⋮ Hopf-cyclic cohomology of quantum enveloping algebras ⋮ A characteristic map for the holonomy groupoid of a foliation

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