Free loop space and the cyclic bar construction

Abstract

Using the $E_{\infty }-$structure on singular cochains, we construct a homotopy coherent map from the cyclic bar construction of the differential graded algebra of cochains on a space to a model for the cochains on its free loop space. This fills a gap in the paper "Cyclic homology and equivariant homology" by John D.S. Jones.

9 pages, minor changes

References in corpus (1)

• Topological Hochschild homology and the cyclic bar construction in symmetric spectra

Cited by in corpus (1)

• Hodge decomposition of string topology