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arXiv · 2007.13194

Global shifted potentials for moduli stacks of sheaves on Calabi-Yau four-folds

Dennis Borisov·Ludmil Katzarkov·Artan Sheshmani·Shing-Tung Yau
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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 $-1$-shifted potentials, whose derived critical loci give back the stable loci of smooth stacks of sheaves in global Darboux form.

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Dennis Borisov, Ludmil Katzarkov, Artan Sheshmani, Shing-Tung Yau. 2022-01-10. Global shifted potentials for moduli stacks of sheaves on Calabi-Yau four-folds. https://arxiv.org/abs/2007.13194

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