Subject: Diff(S^n) Date: Mon, 20 Jan 2003 10:43:23 -0800 From: Boris Botvinnik This is a question to the experts on Diff(S^n). Let x_0 be a point in S^n. There is the following subgroup of Diff(S^n): Diff_{x_0}(S^n):={ \phi\in Diff(S^n) | \phi(x_0)=x_0, d\phi_{x_0}=Id} This subgroup is clearly related to Diff(S^n). Does anybody know rational homology of Diff_{x_0}(S^n) for n>4 ? I will appreciate the answer. Boris Botvinnik