Relative Zeta Determinants and the Quillen Metric
classification
🧮 math.AP
hep-phhep-thmath.DG
keywords
boundarydeterminantellipticmetricproblemsrelativevaluebundle
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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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