Verdier quotients of Calabi–Yau categories from quivers with potential

Abstract

We investigate a class of triangulated categories obtained as Verdier quotients of 3-Calabi–Yau categories combinatorially described by quivers with potential from (decorated) marked surfaces. We study their bounded t-structures and consider in particular the exchange graphs of hearts and silting objects respectively, and show that the Koszul isomorphism between these graphs is preserved under Verdier quotient.