Global shifted potentials for moduli stacks of sheaves on Calabi-Yau four-folds
arXiv:2007.13194
Abstract
It is shown that there are globally defined Lagrangian distributions on the stable loci of derived Quot-stacks of coherent sheaves on Calabi--Yau four-folds. Dividing by these distributions produces perfectly obstructed smooth stacks with globally defined -shifted potentials, whose derived critical loci give back the stable loci of smooth stacks of sheaves in global Darboux form.
arXiv comment33 pages, title and abstract are modified. Some improvements have been made in the body of the article and main proofs. Comments are very welcome