Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tight contact structures on some bounded Seifert manifolds with minimal
  convex boundary   We classify positive tight contact structures, up to isotopy fixing the
boundary, on the manifolds $N=M(D^{2}; r_1, r_2)$ with minimal convex boundary
of slope $s$ and Giroux torsion 0 along $\partial N$, where $r_1,r_2\in
(0,1)\cap\mathbb{Q}$, in the following cases:
  (1) $s\in(-\infty, 0)\cup[2, +\infty)$;
  (2) $s\in[0, 1)$ and $r_1,r_2\in [1/2,1)$;
  (3) $s\in[1, 2)$ and $r_1,r_2\in(0,1/2)$;
  (4) $s=\infty$ and $r_1=r_2=1/2$.
  We also classify positive tight contact structures, up to isotopy fixing the
boundary, on $M(D^2;1/2,1/2)$ with minimal convex boundary of arbitrary slope
and Giroux torsion greater than 0 along the boundary.

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The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an