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math.AP2004
Zeta Determinants on Manifolds with Boundary
Simon Scott
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…
math.DG2004
Zeta Forms and the Local Family Index Theorem
Simon Scott
For a smooth family F of admissible elliptic pseudodifferential operators with differential form coefficients associated to a geometric fibration of manifolds M--> B we show that t…
math.AP2004
The Residue Determinant
Simon Scott
The purpose of this paper is to present the construction of a canonical determinant functional on elliptic pseudodifferential operators associated to the Guillemin-Wodzicki residue…