Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Garside elements, inertia and Galois action on braid groups   An important piece of information in the theory of the arithmetic Galois
action on the geometric fundamental groups of schemes is that divisorial
inertia is acted on cyclotomically. We detail in this note the content of this
fact in the case of the profinite braid groups arising from complex reflection
groups, naturally viewing them as the geometric fundamental groups of the
attending classifying spaces. We also include the case of the full (non
colored) braid groups, whose completed classifying spaces are Deligne-Mumford
stacks rather than schemes.

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The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-th
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The categories of this paper are: eess
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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: gr-qc