Systolic inequalities, Ginzburg dg algebras and Milnor fibers

Abstract

We prove categorical systolic inequalities for the derived categories of 2-Calabi--Yau Ginzburg dg algebras associated to ADE quivers and explore their symplecto-geometric aspects.

15 pages. Final version to appear in J. Math. Soc. Japan

References in corpus (3)

• Exchange graphs and Ext quivers
• Spaces of stability conditions
• Stability conditions and quantum dilogarithm identities for Dynkin quivers