Recollements and n -cotorsion pairs

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].