Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Between Ish and Shi   We introduce a new family of hyperplane arrangements in dimension $n\geq3$
that includes both the Shi arrangement and the Ish arrangement. We prove that
all the members of a given subfamily have the same number of regions - the
connected components of the complement of the union of the hyperplanes - which
can be bijectively labeled with the Pak-Stanley labeling. In addition, we show
that, in the cases of the Shi and the Ish arrangements, the number of labels
with reverse centers of a given length is equal, and conjecture that the same
happens with all of the members of the family.

0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol