In this article, we define the notion of n -cotorsion pairs in triangulated categories, which is a generalization of the classical cotorsion pairs. We prove that any mutation of an n -cotorsion pair is again an n -cotorsion pair. When n = 1 , this result generalizes the work of Zhou and Zhu for classical cotorsion pairs. As applications, we give a geometric characterization of n -cotorsion pairs in n -cluster categories of type A and give a geometric realization of mutation of n -cotorsion pairs via rotation of certain configurations of n -diagonals.
In this article, we define the notion of n ...
