ASYMPTOTIC TORSION AND TOEPLITZ OPERATORS
Autor: | Jean-Michel Bismut, Weiping Zhang, Xiaonan Ma |
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Rok vydání: | 2015 |
Předmět: | |
Zdroj: | Journal of the Institute of Mathematics of Jussieu. 16:223-349 |
ISSN: | 1475-3030 1474-7480 |
Popis: | 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. |
Databáze: | OpenAIRE |
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