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arXiv · 2111.12985

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

Ruggero Bandiera·Emma Lepri·Marco Manetti
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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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BibTeXRIS

Ruggero Bandiera, Emma Lepri, Marco Manetti. 2021-11-25. $L_{\infty}$ liftings of semiregularity maps via Chern-Simons classes. https://arxiv.org/abs/2111.12985

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