4 citations · 4 across the 4 of their papers we have counts for
6 papers
A Laurent expansion for regularised integrals of holomorphic symbols
Sylvie Paycha, Simon Scott
For a holomorphic family of classical pseudodifferential operators on a closed manifold we give exact formulae for all coefficients in the Laurent expansion of its Kontsevich-Vishi…
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…
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…
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…
Relative Zeta Determinants and the Quillen Metric
Simon Scott
We compute the relative zeta-function metric on the determinant line bundle for a family of elliptic boundary value problems of Dirac-type. To do this we prove a general formula re…
Splitting the Curvature of the Determinant Line Bundle
Simon Scott
It is shown that the determinant line bundle associated to a family of Dirac operators over a closed partitioned manifold has a canonical Hermitian metric with compatible connectio…