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Shifted symplectic higher Lie groupoids and classifying spaces

Published 2 Dec 2021 in math.DG and math.SG | (2112.01417v2)

Abstract: We introduce the concept of $m$-shifted symplectic Lie $n$-groupoids and symplectic Morita equivalences between them. We then build various models for the 2-shifted symplectic structure on the classifying stack in this setting and construct explicit symplectic Morita equivalences between them.

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