Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Plastikstufe with toric core   Plastikstufes and overtwistedness for higher-dimensional contact manifolds
are studied in this paper. It is proved that a contact structure is overtwisted
if and only if there exists a small plastikstufe with toric core that has
trivial rotation.

30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph