$L_{\infty}$ liftings of semiregularity maps via Chern-Simons classes

Published 25 Nov 2021 in math.AG, math.DG, and math.QA | (2111.12985v3)

Abstract: We introduce the notion of Chern-Simons classes for curved DG-pairs and we prove that a particular case of this general construction provides canonical $L_\infty$ liftings of Buchweitz-Flenner semiregularity maps for coherent sheaves on complex manifolds.

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