论文信息 - Analytic Torsion and Holomorphic Determinant Bundles II

Analytic Torsion and Holomorphic Determinant Bundles II

In this paper, we derive the main properties of Kahler fibrations. We introduce the associated Levi-Civita superconnection to construct analytic torsion forms for holomorphic direct images. These forms generalize in any degree the analytic torsion of Ray and Singer. In the case of acyclic complexes of holomorphic Hermitian vector bundles, such forms are calculated by means of Bott-Chern classes.

J. Bismut | C. Soulé | H. Gillet

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