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

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.

V2 introduction and references expanded, V3 corrected typos and minor changes

References in corpus (1)

• Lectures on deformations of complex manifolds