Bott-Chern currents and complex immersions

DOI10.1215/S0012-7094-90-06009-0zbMath0697.58005OpenAlexW2077160211MaRDI QIDQ911112

Jean-Michel Bismut, Christophe Soule, Henri A. Gillet

Publication date: 1990

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-90-06009-0

zbMATH Keywords

holomorphic vector bundleChern-Weil theoryholomorphic immersionBott-Chern current

Mathematics Subject Classification ID

Holomorphic bundles and generalizations (32L05) Immersions in differential topology (57R42) Currents in global analysis (58A25)

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Concentration theorem and relative fixed point formula of Lefschetz type in Arakelov geometry, An arithmetic Riemann-Roch theorem, Duistermaat–Heckman formulas and index theory, Superconnexions, indice local des familles, déterminant de la cohomologie et métriques de Quillen, A theory of characteristic currents associated with a singular connection, Superconnection currents and complex immersions, An Adams-Riemann-Roch theorem in Arakelov geometry, Green forms and the arithmetic Siegel-Weil formula, An arithmetic Riemann-Roch theorem in higher degrees, Bott-Chern currents, excess normal bundles and the Chern character, Complex equivariant intersection, excess normal bundles and Bott-Chern currents, On certain infinite dimensional aspects of Arakelov intersection theory, Orbifolds and analytic torsions, Complex immersions and Quillen metrics, Eta invariants and complex immersions, Uniqueness of equivariant singular Bott-Chern classes, Koszul Complexes, Harmonic Oscillators, and the Todd Class, Analytic cycles, Bott-Chern forms, and singular sets for the Yang-Mills flow on Kähler manifolds, Real embeddings and eta invariants

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