On Bott-Chern forms and their applications

DOI10.1007/s00208-014-1045-3zbMath1303.32014arXiv1102.1105OpenAlexW2132230610MaRDI QIDQ464155

J. Herrera, D. Rodríguez-Gómez

Publication date: 17 October 2014

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.1105

zbMATH Keywords

Chern-Weil theorycanonical connectionBott-Chern formHermitian holomorphic vector bundle

Mathematics Subject Classification ID

Differential forms in global analysis (58A10) Complex manifolds (32Q99) Holomorphic bundles and generalizations (32L05)

Related Items (8)

Explicit computation of the Chern character forms ⋮ A note on higher extremal metrics ⋮ Smooth maps into quaternionic Grassmannians inducing a prescribed 4-form ⋮ Quillen metrics and perturbed equations ⋮ Inverses of structured vector bundles ⋮ Logarithmic connections, WZNW action, and moduli of parabolic bundles on the sphere ⋮ Differential KO-theory: constructions, computations, and applications ⋮ ON DIFFERENTIAL CHARACTERISTIC CLASSES

Cites Work

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• Chiral Lagrangians, anomalies, supersymmetry, and holomorphy
• Structured vector bundles define differential K-theory
• Direct images of Hermitian holomorphic bundles
• Axiomatic characterization of ordinary differential cohomology

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