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- Title
ASYMPTOTIC TORSION AND TOEPLITZ OPERATORS.
- Authors
Bismut, Jean-Michel; Ma, Xiaonan; Zhang, Weiping
- Abstract
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.
- Publication
Journal of the Institute of Mathematics of Jussieu, 2017, Vol 16, Issue 2, p223
- ISSN
1474-7480
- Publication type
Article
- DOI
10.1017/S1474748015000171