Calabi-Yau categories and graded quivers with potential

2024/01/10 by Ren, Jie
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2402.03330

Abstract

We prove that the equivalence classes of d-dimensional Calabi-Yau A_∞-categories (dCY category for short) of certain type are in one-to-one correspondence with the gauge equivalence classes of graded quivers with potential.

Related

• Correspondence between 2 Calabi-Yau Categories and Quivers
• Derived equivalences from mutations of quivers with potential
• Morphisms of pre-Calabi-Yau categories and morphisms of cyclic A_∞-categories
• Deformed Calabi-Yau Completions
• Graded Calabi Yau Algebras of dimension 3