English

Zeta Determinants on Manifolds with Boundary

Analysis of PDEs 2007-05-23 v1 Differential Geometry

Abstract

We study the zeta determinant of global boundary problems of APS-type through a general theory for relative spectral invariants. In particular, we compute the zeta determinant for Dirac-Laplacian boundary problems in terms of a scattering Fredholm determinant over the boundary.

Cite

@article{arxiv.math/0406315,
  title  = {Zeta Determinants on Manifolds with Boundary},
  author = {Simon Scott},
  journal= {arXiv preprint arXiv:math/0406315},
  year   = {2007}
}

Comments

62 pages

R2 v1 2026-07-22T17:06:46.074Z