Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Braid pictures for Artin groups   We define the braid groups of a two-dimensional orbifold and introduce
conventions for drawing braid pictures. We use these to realize the Artin
groups associated to the spherical Coxeter diagrams A_n, B_n=C_n and D_n and
the affine diagrams tilde{A}_n, tilde{B}_n, tilde{C}_n and tilde{D}_n as
subgroups of the braid groups of various simple orbifolds. The cases D_n,
tilde{B}_n, tilde{C}_n and tilde{D}_n are new. In each case the Artin group is
a normal subgroup with abelian quotient; in all cases except tilde{A}_n the
quotient is finite. We illustrate the value of our braid calculus by performing
with pictures a nontrivial calculation in the Artin groups of type D_n.

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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: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: cs
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: hep-th