Topology of the cyclic Čech-Hochschild bicomplex

DOI10.13164/MA.2013.03zbMath1336.58004OpenAlexW2321423233MaRDI QIDQ5416017

Jan Kubarski

Publication date: 19 May 2014

Published in: MATHEMATICS FOR APPLICATIONS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.13164/ma.2013.03

zbMATH Keywords

Čech cohomologycyclic homologyHochschild homologycocycleChern charactercyclic complexgood coveringdouble Čech-de Rham complexlocal formulas for characteristic classesnoncommutative geometry on smooth manifoldssingle Connes complexcyclic Čech-Hochschild bicomplexsingle de Rham complex

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Characteristic classes and numbers in differential topology (57R20) Noncommutative geometry (à la Connes) (58B34) Chain complexes in algebraic topology (55U15)

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