Eta forms and determinant lines
classification
🧮 math.DG
keywords
determinantformbismut-quillenboundarybundlecanonicalconnectionconstruction
read the original abstract
We show that there is a canonical construction of a zeta (Bismut-Quillen) connection on the determinant line bundle of a family of APS elliptic boundary problems and that it has curvature equal to the 2-form part of a relative eta form.
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