Global shifted potentials for moduli stacks of sheaves on Calabi-Yau four-folds
Abstract
abstract: It is shown that there are globally defined Lagrangian distributions on the stable loci of derived $\mathrm{Quot}$-stacks of coherent sheaves on Calabi--Yau four-folds. Dividing by these distributions produces perfectly obstructed smooth stacks with globally defined $-1$-shifted potentials, whose derived critical loci give back the stable loci of smooth stacks of sheaves in global Darboux form.
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Advanced Algebra and Geometry
Black Holes and Theoretical Physics
Publication details
- Journal / source
- American Journal of Mathematics
- Volume
- 148
- Issue
- 4
- Pages
- 1075–1101
- Publication date
- 1 August 2026
- Language
- EN