# loop space homology and lens spaces

Is the homology of free loop space of lens spaces known?

Coefficients in $\mathbb Z$? –  Fernando Muro Jun 20 '13 at 17:36
There is paper by Loday "Free loop space and homology". It establishes isomorphism between cohomology of free loop space $LX$ and Hochschild homology of an algebra of singular cochains $S^*X$. Maybe this will help. –  Sasha Patotski Jun 20 '13 at 17:37
Do you mean for each component of the free loop space? The free loop space $LM$ has $p$ components for the lens space $M=L(p,q)$. –  Somnath Basu Aug 30 '13 at 14:26