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Shiquan Ren
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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?

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?

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?

Source Link
Shiquan Ren
  • 2k
  • 11
  • 22

cohomology ring of configuration spaces

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?