Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Spectral sequence for polynomially bounded cohomology   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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The categories of this paper are: nlin
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
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The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: q-alg
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The categories of this paper are: adap-org