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.
Verdier quotients of Calabi–Yau categories from quivers with potential
Anna Barbieri
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2026-01-01
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.
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