Superconnection currents and complex immersions

DOI10.1007/BF01234412zbMath0696.58006MaRDI QIDQ910774

Jean-Michel Bismut

Publication date: 1990

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143751

zbMATH Keywords

Koszul complexHermitian vector bundlesQuillen metricChern characterresolutionscomplex immersionssuperconnection currents

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Supermanifolds and graded manifolds (58A50) Integral geometry (53C65) Differential forms in global analysis (58A10) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Immersions in differential topology (57R42) Connections (general theory) (53C05)

Related Items (21)

Concentration theorem and relative fixed point formula of Lefschetz type in Arakelov geometry ⋮ An arithmetic Riemann-Roch theorem ⋮ Duistermaat–Heckman formulas and index theory ⋮ On the singularity of Quillen metrics ⋮ Superconnexions, indice local des familles, déterminant de la cohomologie et métriques de Quillen ⋮ Relative Chern character number and super-connection ⋮ Bott-Chern currents and complex immersions ⋮ An Adams-Riemann-Roch theorem in Arakelov geometry ⋮ Green forms and the arithmetic Siegel-Weil formula ⋮ Superconnections, theta series, and period domains ⋮ 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 ⋮ Koszul Complexes, Harmonic Oscillators, and the Todd Class ⋮ The asymptotics of the Ray-Singer analytic torsion associated with high powers of a positive line bundle ⋮ Submersions and equivariant Quillen metrics ⋮ Real embeddings and eta invariants ⋮ Families of equivariant immersions and analytic torsion forms

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