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Relative Zeta Determinants and the Quillen Metric

Simon Scott
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Abstract

We compute the relative zeta-function metric on the determinant line bundle for a family of elliptic boundary value problems of Dirac-type. To do this we prove a general formula relating the zeta-determinant to a Fredholm determinant over the boundary for a class of higher-order elliptic boundary value problems.

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Simon Scott. 1999-10-27. Relative Zeta Determinants and the Quillen Metric. https://arxiv.org/abs/math/9910148

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