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

Thanks in advance for your help.

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  • $\begingroup$ Coefficients in $\mathbb Z$? $\endgroup$
    – Fernando Muro
    Commented Jun 20, 2013 at 17:36
  • $\begingroup$ 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. $\endgroup$
    – Sasha Patotski
    Commented Jun 20, 2013 at 17:37
  • $\begingroup$ @Fernando Muro, Yes. But \mathbb{Q} coefficeints is also fine. @Sasha Patotski, thanks, I will have a look. $\endgroup$
    – Murat Saglam
    Commented Jun 21, 2013 at 14:49
  • $\begingroup$ Do you mean for each component of the free loop space? The free loop space $LM$ has $p$ components for the lens space $M=L(p,q)$. $\endgroup$
    – Somnath Basu
    Commented Aug 30, 2013 at 14:26

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