Koszul Complexes, Harmonic Oscillators, and the Todd Class

DOI10.2307/1990987zbMath0702.58071OpenAlexW4245910924MaRDI QIDQ3480967

Jean-Michel Bismut

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/1990987

zbMATH Keywords

determinantsRiemann-RochsuperconnectionTodd classTodd polynomialsexact sequence of holomorphic vector bundles

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Differential complexes (58J10) Immersions in differential topology (57R42)

Related Items (15)

Duistermaat–Heckman formulas and index theory ⋮ Superconnexions, indice local des familles, déterminant de la cohomologie et métriques de Quillen ⋮ The hypoelliptic Dirac operator ⋮ Analytic torsion forms for fibrations by projective curves ⋮ 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 ⋮ The hypoelliptic Laplacian on a compact Lie group ⋮ On the full asymptotics of analytic torsion ⋮ Unnamed Item ⋮ Formes de torsion analytique et familles des submersions I ⋮ Submersions and equivariant Quillen metrics ⋮ Real embeddings and eta invariants ⋮ Equivariant analytic torsion on \(\mathbb{P}^ n\mathbb{C}\)

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