On the May Spectral Sequence at the prime 2

Weinan Lin

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On the May Spectral Sequence at the prime 2

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arxiv 2010.14754 v2 pith:DU2XWT5Z submitted 2020-10-28 math.AT

On the May Spectral Sequence at the prime 2

Weinan Lin This is my paper

classification math.AT

keywords spectralconjecturepagesequencecomputedifferentialsgeneratorsprove

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abstract

We make a conjecture about the whole $E_2$ page of the May spectral sequence in terms of generators and relations and we prove it in a subalgebra which covers a large range of dimensions. We show that the $E_2$ page plays a universal role in the study of Massey products in commutative DGAs. We conjecture that the $E_2$ page is nilpotent free and also prove it in this subalgebra. We compute all the $d_2$ differentials of the generators in the conjecture and construct maps of spectral sequences which allow us to explore Adams vanishing line theorem to compute differentials in the May spectral sequence.

On the May Spectral Sequence at the prime 2

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