Zeta Determinants on Manifolds with Boundary

2004/06/16 by Simon Scott
Mathematics · #math.AP #math.DG

paper · pdf

published as Jour. Funct. Anal., 192, 112-185, (2002) · 62 pages

arxiv created 2004/06/16 · arxiv updated 2009/12/01

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.

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