Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On hyperbolic cobordisms and Hurwitz classes of holomorphic coverings   In this article we show that for every collection $\mathcal{C}$ of an even
number of polynomials, all of the same degree $d>2$ and in general position,
there exist two hyperbolic $3$-orbifolds $M_1$ and $M_2$ with a M\"obius
morphism $\alpha:M_1\rightarrow M_2$ such that the restriction of $\alpha$ to
the boundaries $\partial M_1$ and $\partial M_2$ forms a collection of maps $Q$
in the same conformal Hurwitz class of the initial collection $\mathcal{C}$.
Also, we discuss the relationship between conformal Hurwitz classes of rational
maps and classes of continuous isomorphisms of sandwich products on the set of
rational maps.

18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin