Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Automorphisms of the fine curve graph   Building on work of Farb and the second author, we prove that the group of
automorphisms of the fine curve graph for a surface is isomorphic to the group
of homeomorphisms of the surface. This theorem is analogous to the seminal
result of Ivanov that the group of automorphisms of the (classical) curve graph
is isomorphic to the extended mapping class group of the corresponding surface.

29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat