Chern currents of singular connections associated with a section of a compactified bundle

DOI10.1512/iumj.1995.44.1991zbMath0848.32006OpenAlexW2023511363MaRDI QIDQ4869943

John W. Zweck

Publication date: 28 October 1996

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.1995.44.1991

zbMATH Keywords

divisorsresiduescharacteristic formssingular connectionssection of a vector bundlebundles of complex projective spacesChern currentslocal formulae of Poincaré-Lelong type

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Topology of vector bundles and fiber bundles (57R22) Differentiable maps on manifolds (58C25) Currents in global analysis (58A25) Integration on analytic sets and spaces, currents (32C30)

Related Items (3)

Euler and Pontrjagin currents of a section of a compactified real bundle ⋮ A theory of characteristic currents associated with a singular connection ⋮ Singularities and Chern-Weil theory. II: Geometric atomicity

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