Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the ideal triangulation graph of a punctured surface   We study the ideal triangulation graph $T(S)$ of a punctured surface $S$ of
finite type. We show that if $S$ is not the sphere with at most three punctures
or the torus with one puncture, then the natural map from the extended mapping
class group of $S$ into the simplicial automorphism group of $T(S)$ is an
isomorphism. We also show that under the same conditions on $S$, the graph
$T(S)$ equipped with its natural simplicial metric is not Gromov hyperbolic.
Thus, from the point of view of Gromov hyperbolicity, the situation of $T(S)$
is different from that of the curve complex of $S$.

8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci