Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A lower bound for the volumes of complements of periodic geodesics   Every closed geodesic $\gamma$ on a surface has a canonically associated knot
$\widehat\gamma$ in the projective unit tangent bundle. We study, for $\gamma$
filling, the volume of the associated knot complement with respect to its
unique complete hyperbolic metric. We provide a lower bound for the volume
relative to the number of homotopy classes of $\gamma$-arcs in each pair of
pants of a pants decomposition of the surface.

36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga