Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A simultaneous generalization of mutation and recollement on a
  triangulated category   In this article, we introduce the notion of {\it concentric twin cotorsion
pair} on a triangulated category. This notion contains the notions of
$t$-structure, cluster tilting subcategory, co-$t$-structure and functorally
finite rigid subcategory as examples. Moreover, a recollement of triangulated
categories can be regarded as a special case of concentric twin cotorsion pair.
  To any concentric twin cotorsion pair, we associate a pretriangulated
subquotient category. This enables us to give a simultaneous generalization of
the Iyama-Yoshino reduction and the recollement of cotorsion pairs. This allows
us to give a generalized mutation on a set of cotorsion pairs defined by the
concentric twin cotorsion pair.

21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom