Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on a rigidity estimate for degree $\pm 1$ conformal maps on
  $\mathbb{S}^2$   In this note we present a short alternative proof of an estimate obtained by
A.B.-Mantel, C.B. Muratov and T.M. Simon in [3] regarding the rigidity of
degree {$\pm 1$} conformal maps of $\mathbb{S}^2$, i.e. its M\"obius
transformations.

13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom