Article Dans Une Revue Journal of the Institute of Mathematics of Jussieu Année : 2017

ASYMPTOTIC TORSION AND TOEPLITZ OPERATORS

Résumé

We use Toeplitz operators to evaluate the leading term in the asymptotics of the analytic torsion forms associated with a family of flat vector bundles $F_{p}$ . For $p\in \mathbf{N}$ , the flat vector bundle $F_{p}$ is the direct image of $L^{p}$ , where $L$ is a holomorphic positive line bundle on the fibres of a flat fibration by compact Kähler manifolds. The leading term of the analytic torsion forms is the integral along the fibre of a locally defined differential form.

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Dates et versions

hal-05611533 , version 1 (04-05-2026)

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Jean-Michel Bismut, Xiaonan Ma, Weiping Zhang. ASYMPTOTIC TORSION AND TOEPLITZ OPERATORS. Journal of the Institute of Mathematics of Jussieu, 2017, 16 (02), ⟨10.1017/S1474748015000171⟩. ⟨hal-05611533⟩
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