Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Four-fold Massey products in Galois cohomology   In this paper, we develop a new necessary and sufficient condition for the
vanishing of 4-Massey products of elements in the mod-2 Galois cohomology of a
field. This new description allows us to define a splitting variety for
4-Massey products, which is shown in the Appendix to satisfy a local-to-global
principle over number fields. As a consequence, we prove that, for a number
field, all such 4-Massey products vanish whenever they are defined. This
provides new explicit restrictions on the structure of absolute Galois groups
of number fields.

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The categories of this paper are: econ
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
3
The categories of this paper are: physics
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph