Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cusp types of quotients of hyperbolic knot complements   This paper completes a classification of the types of orientable and
non-orientable cusps that can arise in the quotients of hyperbolic knot
complements. In particular, $S^2(2,4,4)$ cannot be the cusp cross-section of
any orbifold quotient of a hyperbolic knot complement. Furthermore, if a knot
complement covers an orbifold with a $S^2(2,3,6)$ cusp, it also covers an
orbifold with a $S^2(3,3,3)$ cusp.

26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th