In the present paper, we study the relationships of Formula: see text-cotorsion pairs among three abelian categories in a recollement. Under certain conditions, we present an explicit construction of gluing of Formula: see text-cotorsion pairs in an abelian category Formula: see text with respect to Formula: see text-cotorsion pairs in abelian categories Formula: see text, Formula: see text respectively. On the other hand, we study the construction of Formula: see text-cotorsion pairs in abelian categories Formula: see text, Formula: see text obtained from Formula: see text-cotorsion pairs in an abelian category Formula: see text.
Cao et al. (Sat,) studied this question.