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Regularized and L2-determinants

Published online by Cambridge University Press:  01 January 1998

A Deitmar
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Abstract

A notion of $L^2$-determinant is established generalizing $L^2$-torsion. It is shown that classical regularized determinants of elliptic operators converge to $L^2$-determinants in a tower of coverings. A product formula is proved, which provides an Euler-product expansion to regularized determinants, having generalized $L^2$-determinants as Euler-factors.

1991 Mathematics Subject Classification: 58G26, 58F20.

Keywords

Ray-Singer determinantsregularized products$L^2$-invariants
Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 76 , Issue 1 , January 1998 , pp. 150 - 174
Copyright
London Mathematical Society 1998

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