Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The formula for the permutation of mutation sequences in $A_n$ straight
  orientation   In this paper we state and prove a formula for the permutations associated to
reddening and loop sequences in $A_n$ straight orientation using the picture
group. In particular this applies to maximal green sequences in $A_n$ straight
orientation. Furthermore we extend the definition and formula of the associated
permutation to arbitrary mutation sequences based on our results. We introduce
the concept of standard matrices which gives a canonical order on
indecomposable components of cluster-tilting objects. Preservation of
standardness of C-matrices by a combination of a mutation and its associated
permutation gives the formula.

34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph