Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On hyperbolic knots realizing the maximal distance between toroidal
  surgeries   For a hyperbolic knot in the 3-sphere, the distance between toroidal
surgeries is at most 5, except the figure eight knot. In this paper, we
determine all hyperbolic knots that admit two toroidal surgeries with distance
5.

14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
18
The categories of this paper are: econ