Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Minimal factorizations of a cycle: a multivariate generating function   It is known that the number of minimal factorizations of the long cycle in
the symmetric group into a product of $k$ cycles of given lengths has a very
simple formula: it is $n^{k-1}$ where $n$ is the rank of the underlying
symmetric group and $k$ is the number of factors. In particular, this is
$n^{n-2}$ for transposition factorizations. The goal of this work is to prove a
multivariate generalization of this result. As a byproduct, we get a
multivariate analog of Postnikov's hook length formula for trees, and a refined
enumeration of final chains of noncrossing partitions.

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The categories of this paper are: hep-ph
1
The categories of this paper are: cs
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics