English

Eta forms and determinant lines

Differential Geometry 2008-03-06 v3

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.

Cite

@article{arxiv.0712.2230,
  title  = {Eta forms and determinant lines},
  author = {Simon Scott},
  journal= {arXiv preprint arXiv:0712.2230},
  year   = {2008}
}

Comments

Minor technical clarifications

R2 v1 2026-06-21T09:53:51.974Z