Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A survey of length series identities for surfaces, % 3-manifolds and
  representation varieties   We survey some of our recent results on length series identities for
hyperbolic (cone) surfaces, possibly with cusps and/or boundary geodesics;
classical Schottky groups; representations/characters of the one-holed torus
group to $SL(2, \mathbf C)$; and hyperbolic 3 manifolds obtained by hyperbolic
Dehn surgery on punctured torus bundles over the circle. These can be regarded
as generalizations and variations of McShane's identity for cusped hyperbolic
surfaces, which has found some striking applications in the recent work of
Mirzakhani. We discuss some of the methods and techniques used to obtain these
identities.

12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio