Gepner type stability condition via Orlov/Kuznetsov equivalence

Abstract

We show the existence of Gepner type Bridgeland stability conditions on the triangulated categories of graded matrix factorizations associated with homogeneous polynomials which define general cubic fourfolds containing a plane. The key ingredient is to describe the grade shift functor of matrix factorizations in terms of sheaves of Clifford algebras on the projective plane under Orlov/Kuznetsov equivalence.

43 pages

References in corpus (4)

• Stability structures, motivic Donaldson-Thomas invariants and cluster transformations
• Hodge theory and derived categories of cubic fourfolds
• Gepner point and strong Bogomolov-Gieseker inequality for quintic 3-folds
• ACM bundles on cubic fourfolds containing a plane

Cited by in corpus (1)

• Derived category of coherent sheaves and counting invariants