Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Noncrossing partitions for periodic braids   An element in Artin's braid group $B_n$ is called periodic if it has a power
which lies in the center of $B_n$. The conjugacy problem for periodic braids
can be reduced to the following: given a divisor $1\le d<n-1$ of $n-1$ and an
element $\alpha$ in the super summit set of $\epsilon^d$, find $\gamma\in B_n$
such that $\gamma^{-1}\alpha\gamma=\epsilon^d$, where
$\epsilon=(\sigma_{n-1}\cdots\sigma_1)\sigma_1$.
  In this article we characterize the elements in the super summit set of
$\epsilon^d$ in the dual Garside structure by studying the combinatorics of
noncrossing partitions arising from periodic braids. Our characterization
directly provides a conjugating element $\gamma$. And it determines the size of
the super summit set of $\epsilon^d$ by using the zeta polynomial of the
noncrossing partition lattice.

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The categories of this paper are: hep-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: chem-ph
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The categories of this paper are: stat
32
The categories of this paper are: atom-ph
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The categories of this paper are: physics
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The categories of this paper are: cs
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The categories of this paper are: econ
25
The categories of this paper are: patt-sol
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci