Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pinching Holomorphic Correspondences   For certain classes of holomorphic correspondences which are matings between
Kleinian groups and polynomials, we prove the existence of pinching
deformations, analogous to Maskit's deformations of Kleinian groups which pinch
loxodromic elements to parabolic elements. We apply our results to establish
the existence of matings between quadratic maps and the modular group, for a
large class of quadratic maps, and of matings between the quadratic map $z\to
z^2$ and circle-packing representations of the free product $C\_2*C\_3$ of
cyclic groups of order 2 and 3.

17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con