Recollements and n-cotorsion pairs

In the present paper, we study the relationships of n-cotorsion pairs among three abelian categories in a recollement. Under certain conditions, we present an explicit construction of gluing of n-cotorsion pairs in an abelian category D with respect to n-cotorsion pairs in abelian categories D', D'' respectively. On the other hand, we study the construction of n-cotorsion pairs in abelian categories D', D'' obtained from n-cotorsion pairs in an abelian category D.