Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sharpness of connectivity bounds for quadrature domains   In this paper we prove the sharpness of connectivity bounds established in
[15]. The proof depends on some facts in the theory of univalent polynomials.
We also discuss applications to the equation $r(z)=\bar z$ where $r$ is a
rational function.

15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph