Submission: 2000, Jan. 28
There is a natural evaluation map on the free loop space $\Lambda X \to X^k$ which sends a loop to its values at the $k$th roots of unity. This map is equivariant with respect to the action of the cyclic group on $k$ elements $C_k$. We study the induced map in $C_k$-equivariant cohomology with mod two coefficients in the cases where $k=2^m$ for $m\geq 1$.
1991 Mathematics Subject Classification: 55N91, 55P35.
Keywords and Phrases: Equivariant cohomology, free loop spaces.
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