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ASYMPTOTIC TORSION AND TOEPLITZ OPERATORS
Published online by Cambridge University Press: 11 June 2015
Abstract
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.
Keywords
MSC classification
- Type
- Research Article
- Information
- Journal of the Institute of Mathematics of Jussieu , Volume 16 , Issue 2 , April 2017 , pp. 223 - 349
- Copyright
- © Cambridge University Press 2015
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