ASYMPTOTIC TORSION AND TOEPLITZ OPERATORS
ASYMPTOTIC TORSION AND TOEPLITZ OPERATORS
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DOI：
10.1017/s1474748015000171
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发表时间：
2015-06
影响因子：
0.9
通讯作者：
J. Bismut;X. Ma;Weiping Zhang
中科院分区：
文献类型：
--
作者：
J. Bismut;X. Ma;Weiping Zhang
本文利用Toeplitz算子计算了一类平坦向量丛F_{p}的解析挠率形式的渐近性中的首项。对于$p\in \mathbf{N}$，平坦向量丛$F_{p}$是$L^{p}$的直像，其中$L$是紧Kähler流形平坦纤维化的纤维上的全纯正定线丛。解析挠率形式的首项是沿局部定义的微分形式的纤维沿着的积分。
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.