Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Braid groups and quiver mutation   We describe presentations of braid groups of type ADE and show how these
presentations are compatible with mutation of quivers, building on work of
Barot and Marsh for Coxeter groups. In types A and D these presentations can be
understood geometrically using triangulated surfaces. We then give a
categorical interpretation of the presentations, with the new generators acting
as spherical twists at simple modules on derived categories of Ginzburg
dg-algebras of quivers with potential.

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The categories of this paper are: econ
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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: astro-ph
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The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
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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: q-bio
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The categories of this paper are: cond-mat
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The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci