Eta forms and determinant lines

Details Eta forms and determinant lines Eta forms and determinant lines

2007-12-13

arxiv.org/abs/0712.2230v3

Mathematics

Differential Geometry

Minor technical clarifications

Scientific paper

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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