Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symmetric Cubic Laminations   To investigate the degree $d$ connectedness locus, Thur\-ston studied
\emph{$\sigma_d$-invariant laminations}, where $\sigma_d$ is the $d$-tupling
map on the unit circle, and built a topological model for the space of
quadratic polynomials $f(z) = z^2 +c$. In the spirit of Thurston's work, we
consider the space of all \emph{cubic symmetric polynomials}
$f_\lambda(z)=z^3+\lambda^2 z$ in a series of three articles. In the present
paper, the first in the series, we construct a lamination $C_sCL$ together with
the induced factor space ${\mathbb{S}}/C_sCL$ of the unit circle
${\mathbb{S}}$. As will be verified in the third paper of the series,
${\mathbb{S}}/C_sCL$ is a monotone model of the \emph{cubic symmetric connected
locus}, i.e. the space of all cubic symmetric polynomials with connected Julia
sets.

15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
16
The categories of this paper are: stat
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin