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math.RT2024
Verdier quotients of Calabi-Yau categories from quivers with potential
Anna Barbieri, Yu Qiu
We study a class of triangulated categories obtained as Verdier quotients of 3-Calabi-Yau categories combinatorially described by quivers with potential from (decorated) marked sur…
math.RT2024
A geometric realization of Koszul duality for graded gentle algebras
Zixu Li, Yu Qiu, Yu Zhou
We show that the Koszul functor of a homologically smooth graded gentle algebra can be realized as the half rotation in a geometric model. As a byproduct, we prove an intersection-…
math.GT2024
Moduli spaces of quadratic differentials: Abel-Jacobi map and deformation
Yu Qiu
We study the moduli space of framed quadratic differentials with prescribed singularities parameterized by a decorated marked surface with punctures (DMSp), where simple zeros, dou…