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∞ liftings of Buchweitz–Flenner semiregularity maps for coherent sheaves on complex manifolds.
L∞ liftings of semiregularity maps via Chern–Simons classes
Lepri E.;
2023-01-01
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∞ liftings of Buchweitz–Flenner semiregularity maps for coherent sheaves on complex manifolds.
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