Zeta Determinants on Manifolds with Boundary

Details Zeta Determinants on Manifolds with Boundary Zeta Determinants on Manifolds with Boundary

2004-06-16

arxiv.org/abs/math/0406315v1

Jour. Funct. Anal., 192, 112-185, (2002)

Mathematics

Analysis of PDEs

62 pages

Scientific paper

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.

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