ASYMPTOTIC TORSION AND TOEPLITZ OPERATORS

被引：21

作者：

Bismut, Jean-Michel ^{[1
]}

Ma, Xiaonan ^{[2
]}

Zhang, Weiping ^{[3
,4
]}

机构：

[1] Univ Paris Sud, Dept Math, Batiment 425, F-91405 Orsay, France

[2] Univ Paris 07, UFR Math, Case 7012, F-75205 Paris 13, France

[3] Nankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China

[4] Nankai Univ, LPMC, Tianjin 300071, Peoples R China

来源：

JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU | 2017年 / 16卷 / 02期

基金：

欧洲研究理事会;

关键词：

index theory and related fixed point theorems; determinants and determinant bundles; analytic torsion; SINGER ANALYTIC-TORSION; R-TORSION; KAHLER-MANIFOLDS; SYMPLECTIC FORM; DIRECT IMAGES; CO-HOMOLOGY; QUANTIZATION; EQUIVARIANT; FAMILIES; BUNDLES;

D O I：

10.1017/S1474748015000171

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 is an element of 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 Kahler manifolds. The leading term of the analytic torsion forms is the integral along the fibre of a locally defined differential form.

引用

页码：223 / 349

页数：127

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