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In the paper configuration spaces: applications to Gelfand-Fuks cohomology, by F. Cohen and L. Taylor, Bull. Amer. Math. Soc., 1978, theorem 1, I did not find the proof. What method did the author use to obtain Theorem 1?

Theorem 1:

Let $M=R^n\times V$, $V$ connected, $M$ a manifold of dimension $m$. How to obtain the cohomology ring $H^*(F(M,k);\mathbb{F})$, where $F(M,k)$ is the ordered configuration space, $\mathbb{F}$ is a field?

Where could I find the proof?

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I believe the proof is published in Geometric Applications of Homotopy Theory I.

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  • $\begingroup$ Link is dead... $\endgroup$
    – Alex Suciu
    Commented Mar 20, 2015 at 3:54
  • $\begingroup$ @AlexSuciu Fixed now, sorry $\endgroup$
    – Igor Rivin
    Commented Mar 20, 2015 at 4:17
  • $\begingroup$ Dear Prpf. Igor, the paper Computations of Gelfand-Fuks cohomomogy, ......, in Geometric Applications of Homotopy Theory I. F. Cohen and L. Taylor, requires the coefficients to be a field of characteristic zero most of the time. Is the Theorem 1 in the question derived from Section 2, Theorem 2.1, Remark 2.2 of the paper Computations of Gelfand-Fuks cohomomogy, ......, in Geometric Applications of Homotopy Theory I? $\endgroup$
    – Shiquan Ren
    Commented Mar 20, 2015 at 10:42

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