$L_{\infty}$ liftings of semiregularity maps via Chern-Simons classes
Algebraic Geometry
2023-09-07 v3 Differential Geometry
Quantum Algebra
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 liftings of Buchweitz-Flenner semiregularity maps for coherent sheaves on complex manifolds.
Cite
@article{arxiv.2111.12985,
title = {$L_{\infty}$ liftings of semiregularity maps via Chern-Simons classes},
author = {Ruggero Bandiera and Emma Lepri and Marco Manetti},
journal= {arXiv preprint arXiv:2111.12985},
year = {2023}
}
Comments
V2 introduction and references expanded, V3 corrected typos and minor changes