Relative Zeta Determinants and the Quillen Metric

Details Relative Zeta Determinants and the Quillen Metric Relative Zeta Determinants and the Quillen Metric

1999-10-27

arxiv.org/abs/math/9910148v1

Mathematics

Analysis of PDEs

11 pages

Scientific paper

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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