ASYMPTOTIC TORSION AND TOEPLITZ OPERATORS

Autor:	Jean-Michel Bismut, Weiping Zhang, Xiaonan Ma
Rok vydání:	2015
Předmět:	Pure mathematics Line bundle General Mathematics Flat vector bundle Torsion (algebra) Fibration Analytic torsion Vector bundle Operator theory Toeplitz matrix Mathematics
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
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::2c785d4271ddb5b24df2258ddce5199d https://doi.org/10.1017/s1474748015000171 Zobrazit plný text záznamu