Localizations of the hearts of cotorsion pairs associated with mutations
arXiv:1705.00278 · doi:10.1017/S0017089519000284
Abstract
In this article, we study localizations of hearts of cotorsion pairs (U,V) where U is rigid on an extriangulated category B. The hearts of such cotorsion pairs are equivalent to the functor categories over the stable category of U. Inspired by Marsh and Palu, we consider the mutation of U that induces a cotorsion pair (U',V'). Generally speaking, the hearts of (U,V) and (U',V') are not equivalent to each other, but we will give a generalized pseudo-Morita equivalence between certain localizations of their hearts.
18 pages
References in corpus (4)
- Quotients of exact categories by cluster tilting subcategories as module categories
- From triangulated categories to module categories via localisation II: Calculus of fractions
- From triangulated categories to module categories via localisation
- General heart construction on a triangulated category (II): Associated cohomological functor