L_∞ liftings of semiregularity maps via Chern-Simons classes

2021/11/25 by Ruggero Bandiera, Bandiera, Ruggero, Emma Lepri +3
Mathematics · #14D15 #17B70 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.2111.12985

openalex publication_date 2021/11/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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