Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Studying uniform thickness II: Transversely non-simple iterated torus
  knots   We prove that an iterated torus knot type fails the uniform thickness
property (UTP) if and only if all of its iterations are positive cablings,
which is precisely when an iterated torus knot type supports the standard
contact structure. We also show that all iterated torus knots that fail the UTP
support cabling knot types that are transversely non-simple.

35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th