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

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Global shifted potentials for moduli stacks of sheaves on Calabi-Yau four-folds II (the stable locus). / Borisov, Dennis; Sheshmani, Artan; Yau, Shing-Tung.

ArXiv, 2020.

Publikation: Working paper/Preprint Working paperForskning

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@techreport{36242269f6e5449cb034a41fd9895943,
title = "Global shifted potentials for moduli stacks of sheaves on Calabi-Yau four-folds II (the stable locus)",
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.",
keywords = "Calabi–Yau four-folds,, moduli stack of stable sheaves, Derived quotient stacks, Shifted symplectic structures, Invariant Lagrangian distributions, , Global shifted potentials",
author = "Dennis Borisov and Artan Sheshmani and Shing-Tung Yau",
year = "2020",
month = jul,
language = "English",
publisher = "ArXiv",
type = "WorkingPaper",
institution = "ArXiv",

}

RIS

TY - UNPB

T1 - Global shifted potentials for moduli stacks of sheaves on Calabi-Yau four-folds II (the stable locus)

AU - Borisov, Dennis

AU - Sheshmani, Artan

AU - Yau, Shing-Tung

PY - 2020/7

Y1 - 2020/7

N2 - 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.

AB - 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.

KW - Calabi–Yau four-folds,

KW - moduli stack of stable sheaves

KW - Derived quotient stacks

KW - Shifted symplectic structures

KW - Invariant Lagrangian distributions

KW - , Global shifted potentials

M3 - Working paper

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

PB - ArXiv

ER -