We describe a general correspondence between injective (resp. projective) recollements of
triangulated categories and injective (resp. projective) cotorsion pairs. This provides a model
category description of these recollement situations. Our applications focus on displaying
several recollements that glue together various full subcategories of K (R), the homotopy
category of chain complexes of modules over a general ring R. When R is (left) Noetherian,
these recollements involve complexes built from the Gorenstein injective modules. When R …

We describe a general correspondence between injective (resp. projective) recollements of
triangulated categories and injective (resp. projective) cotorsion pairs. This provides a model
category description of these recollement situations. Our applications focus on displaying
several recollements that glue together various full subcategories of K (R), the homotopy
category of chain complexes of modules over a general ring R. When R is (left) Noetherian
ring, these recollements involve complexes built from the Gorenstein injective modules …