Eight flavours of cyclic homology

Abstract

We introduce eight versions of cyclic homology of a mixed complex and study their properties. In particular, we determine their behaviour with respect to Chen iterated integrals.

arXiv comment38 pages, 3 figures, journal version

References in corpus (3)

• Homological algebra related to surfaces with boundary
• Poincaré duality for loop spaces
• IBL-Infinity Model of String Topology from Perturbative Chern-Simons Theory

Cited by in corpus (1)

• A cocyclic construction of $S^1$-equivariant homology and application to string topology