Koszul complexes, harmonic oscillators, and the Todd class

Bismut, Jean-Michel

Journal of the American Mathematical Society, Tome 03 (1990) no. 1, pp. 159-256

Résumé

In this paper, we construct secondary characteristic classes associated with a short exact sequence of holomorphic Hermitian vector bundles. These secondary invariants are generalized analytic torsion forms associated with a family of elliptic operators. They are calculated in terms of Bott-Chern forms and of a certain complicated characteristic class. In a joint calculation with C. Soulé, we relate this characteristic class to the arithmetic Todd genus of Gillet and Soulé.

Détail

DOI : 10.1090/S0894-0347-1990-1017783-4

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