What question did this study set out to answer?

To explore triangulated categories derived from Verdier quotients of Calabi–Yau categories and their associated structures.

July 11, 2026Documenta MathematicaOpen Access

Verdier quotients of Calabi–Yau categories from quivers with potential

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To explore triangulated categories derived from Verdier quotients of Calabi–Yau categories and their associated structures.
Examined triangulated categories derived from quivers with potential and marked surfaces.
Analyzed the bounded t-structures and the exchange graphs of hearts and silting objects.
Demonstrated that the Koszul isomorphism between the exchange graphs is maintained under Verdier quotient.
Established connections between the structural properties of bounded t-structures and vertices in exchange graphs.
Showed preservation of the Koszul isomorphism, indicating robustness of exchange graph structures under quotient operations.
Demonstrated how these relationships yield insights into the representation theory of quivers.

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Investigates Verdier quotients of Calabi–Yau categories, revealing structural properties using quivers with potential.

Barbieri et al. (2026) studied this question.

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