The asymptotics of the holomorphic torsion forms

被引：5

作者：

Puchol, Martin ^{[1
]}

机构：

[1] Univ Paris 07, Campus Grands Moulins,Batiment Sophie Germain, F-75205 Paris 13, France

来源：

COMPTES RENDUS MATHEMATIQUE | 2016年 / 354卷 / 03期

关键词：

SINGER ANALYTIC-TORSION; RIEMANN-ROCH THEOREM; DETERMINANT BUNDLES; QUILLEN METRICS; MANIFOLDS; POWERS;

D O I：

10.1016/j.crma.2015.11.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we use the theory of Toeplitz operators to give an asymptotic formula for the holomorphic analytic torsion forms associated with a family of holomorphic vector bundles that are the direct image of L-circle times p, where L is a line bundle. To obtain the asymptotics, we make a positivity assumption along the fibers on L. This result is the family version of the results of Bismut and Vasserot on the holomorphic torsion. (c) 2015 Academie des sciences. Published by Elsevier Masson SAS.

引用

页码：301 / 306

页数：6

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