Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sign stability of mapping classes on marked surfaces II: general case
  via reductions   We give a cluster algebraic description of the reduction procedure of mapping
classes along a multicurve. Based on this description, we characterize
pseudo-Anosov mapping classes on a general marked surface in terms of a weaker
version of the uniform sign stability, generalizing the main result in the
previous paper [IK20]. Moreover we axiomatize a general reduction procedure of
mutation loops parametrized by a rational polyhedral cone in the tropical
cluster $\mathcal{X}$-variety, which includes both the reduction along a
multicurve and the cluster reduction introduced in [Ish19].

19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph