A generalization of the Lyndon-Hochschild-Serre spectral sequence for polynomial cohomology
by Ramsey, Bobby William, Jr., Ph.D., PURDUE UNIVERSITY, 2008, 53 pages; 3330577

Abstract:

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; [special characters omitted])). For the polynomial extensions of Noskov, with the normal subgroup isocohomological, the spectral sequence converges to H P*( G; [special characters omitted]). 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.
 
AdviserRonghui Ji
SchoolPURDUE UNIVERSITY
SourceDAI/B 69-10, p. , Dec 2008
Source TypeDissertation
SubjectsMathematics
Publication Number3330577
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