多项式有界上同调的谱序列
A Spectral sequence for polynomially bounded cohomology
摘要：
我们构建了一个类似的林登-Hochschild-Serre谱序列的上下文中的多项式上同调，群扩展。若G是Q的H扩张，则谱序列收敛于G的多项式上同调.对于Noskov多项式扩张的正规子群同调，E2项是Q的多项式上同调，其系数在H的多项式上同调中.当Q和H都是等同调时，G也必须是等同调的。参考Connes-Moscovici和Noskov的结果，如果Q和H都是等同调的，并且具有Jolissaint的快速衰减性质，则G满足Novikov猜想.
英文摘要：
We construct an analogue of the Lyndon-Hochschild-Serre spectral sequence in the context of polynomial cohomology, for group extensions. If G is an extension of Q by H, then the spectral sequence converges to the polynomial cohomology of G. For the polynomial extensions of Noskov with normal subgroup isocohomological, the E_2 term is the polynomial cohomology of Q with coefficients in the polynomial cohomology of H. When both Q and H are isocohomological G must be as well. By referencing results of Connes-Moscovici and Noskov, if Q and H are both isocohomological and have the Rapid Decay property of Jolissaint, then G satisfies the Novikov Conjecture.
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