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arXiv:1602.09035 [math.AT]AbstractReferencesReviewsResources

Free loop space and the cyclic bar construction

Massimiliano Ungheretti

Published 2016-02-29Version 1

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.

Comments: 8 pages
Categories: math.AT
Subjects: 55P50, 55P35, 16E40, 19D55, 55S20
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