科研之友
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摘要
We construct an analogue of the Lyndon-Hochschild-Serre spectral sequence in the context of polynomially bounded cohomology. For G an extension of Q by H, this spectral sequences converges to the polynomially bounded cohomology of G, HP*(G). If the extension is a polynomial extension in the sense of Noskov with H and Q isocohomological and Q of type HF infinity, the spectral sequence has E-2(p,q)-term HPq(Q; HPp(H)), and G is isocohomological for C. By referencing results of Connes-Moscovici and Noskov if H and Q are both isocohomological and have the Rapid Decay property, then G satisfies the Novikov conjecture.
- 出版日期2013-6
