A generalization of the Lyndon -Hochschild -Serre spectral sequence for polynomial cohomology
We construct an analogue of the Lyndon-Hochschild-Serre spectral sequence in the context of polynomial cohomology with E2-term H P*(Q; H P*(H; C )). For the polynomial extensions of Noskov, with the normal subgroup isocohomological, the spectral sequence converges to H P*( G; C ). In the case that both H and Q are isocohomological G must also be isocohomological. By referring to 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.^
Ronghui Ji, Purdue University.