Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Triple Massey products and Galois theory   We show that any triple Massey product with respect to prime 2 contains 0
whenever it is defined over any field. This extends the theorem of M. J.
Hopkins and K. G. Wickelgren, from global fields to any fields. This is the
first time when the vanishing of any $n$-Massey product for some prime $p$ has
been established for all fields. This leads to a strong restriction on the
shape of relations in the maximal pro-2-quotients of absolute Galois groups,
which was out of reach until now. We also develop an extension of Serre's
transgression method to detect triple commutators in relations of
pro-$p$-groups, where we do not require that all cup products vanish. We prove
that all $n$-Massey products, $n\geq 3$, vanish for general Demushkin groups.
We formulate and provide evidence for two conjectures related to the structure
of absolute Galois groups of fields. In each case when these conjectures can be
verified, they have some interesting concrete Galois theoretic consequences.
They are also related to the Bloch-Kato conjecture.

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The categories of this paper are: supr-con
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The categories of this paper are: funct-an
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The categories of this paper are: hep-lat
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-th
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The categories of this paper are: acc-phys
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The categories of this paper are: physics
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The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex