3 papers
math.AG2026
Notes on the Kuznetsov component of cubic sevenfolds
Peize Liu
Let be a cubic 7-fold. When is smooth, its Kuznetsov component is a Calabi-Yau category of dimension 3, and we construct an embedding of the Kuznetsov component into the de…
math.AG2026
Stability conditions and moduli spaces on the Kuznetsov component of cubic fivefolds
Peize Liu
We study the Kuznetsov component of a smooth cubic fivefold. Using a quadric surface fibration, we construct a family of Serre-invariant Bridgeland stability conditions on the Kuzn…
quant-ph2025
Entanglement Sum Rule from Higher-Form Symmetries
Pei-Yao Liu
We prove an entanglement sum rule for -dimensional quantum lattice models with finite abelian higher-form symmetries, obtained by minimally coupling a sector on -simplice…