scientific article; zbMATH DE number 682663

zbMath0817.32014MaRDI QIDQ4312301

Jean-Michel Bismut

Publication date: 4 December 1994

Full work available at URL: http://www.numdam.org/item?id=CM_1994__93_3_291_0

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Hermitian vector bundlescharacteristic classessuperconnection

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Complex manifolds (32Q99)

Related Items

Comparison of two equivariant \(\eta\)-forms ⋮ Orbifolds and analytic torsions ⋮ A fixed point formula of Lefschetz type in Arakelov geometry. I: Statement and proof ⋮ Submersions and equivariant Quillen metrics ⋮ Orbifold Submersion and Analytic Torsions ⋮ Families of equivariant immersions and analytic torsion forms

Cites Work

• Characteristic classes for algebraic vector bundles with Hermitian metric. II
• Superconnections and the Chern character
• The infinitesimal Lefschetz formulas: A heat equation proof
• Superconnections, Thom classes, and equivariant differential forms
• The Atiyah-Singer index theorem for families of Dirac operators: Two heat equation proofs
• 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
• Analytic torsion and the arithmetic Todd genus. (With an appendix by D. Zagier)
• Complex equivariant intersection, excess normal bundles and Bott-Chern currents
• On certain infinite dimensional aspects of Arakelov intersection theory
• Complex immersions and Quillen metrics
• Notes on infinite determinants of Hilbert space operators
• Equivariant immersions and Quillen metrics
• An arithmetic Riemann-Roch theorem
• Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic section
• Analytic torsion for complex manifolds
• Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles
• Koszul Complexes, Harmonic Oscillators, and the Todd Class
• [https://portal.mardi4nfdi.de/wiki/Publication:3889862 Martingales, the Malliavin calculus and hypoellipticity under general H�rmander's conditions]
• Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127)
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item