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Global shifted potentials for moduli stacks of sheaves on Calabi-Yau four-folds II (the stable locus)

Research output: Working paperResearch

  • Dennis Borisov, University of Windsor
  • ,
  • Artan Sheshmani
  • Shing-Tung Yau, Harvard University, United States
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.
Original languageEnglish
Number of pages32
Publication statusPublished - Jul 2020

    Research areas

  • Calabi–Yau four-folds, moduli stack of stable sheaves, Derived quotient stacks, Shifted symplectic structures, Invariant Lagrangian distributions, , Global shifted potentials

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