Bott-Chern currents, excess normal bundles and the Chern character

DOI10.1007/BF01896875zbMath0776.32007OpenAlexW2012701698MaRDI QIDQ1199114

Jean-Michel Bismut

Publication date: 16 January 1993

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/58154

zbMATH Keywords

Bott-Chern currentsChern character

Mathematics Subject Classification ID

Topology of analytic spaces (32C18) Complex manifolds (32Q99) Holomorphic bundles and generalizations (32L05) Integration on analytic sets and spaces, currents (32C30)

Related Items (3)

Complex equivariant intersection, excess normal bundles and Bott-Chern currents ⋮ On certain infinite dimensional aspects of Arakelov intersection theory ⋮ The hypoelliptic Laplacian on the cotangent bundle

Cites Work

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• Superconnections and the Chern character
• Superconnections, Thom classes, and equivariant differential forms
• Determinants of Cauchy-Riemann operators on a Riemann surface
• Analytic torsion and holomorphic determinant bundles. I: Bott-Chern forms and analytic torsion. II: Direct images and Bott-Chern forms. III: Quillen metrics on holomorphic determinants
• Arithmetic intersection theory
• Complex equivariant intersection, excess normal bundles and Bott-Chern currents
• On certain infinite dimensional aspects of Arakelov intersection theory
• Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic section

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