8 citations · 17 across the 12 of their papers we have counts for
13 papers
Residue-Torsion and the Laplacian on Riemannian Manifolds
Niccolò Salvatori, Simon Scott
The Ray-Singer analytic torsion is the zeta-function trace of a certain sum of logarithm operators on the de Rham complex. In this note we examine the residue analytic torsion, def…
Vertical Genera
Niccolò Salvatori, Simon Scott
Generalised characteristic classes are constructed for bordism cohomologies which allow a natural extension of classical genera to these bordism cohomology rings taking values in s…
A generalized Kontsevich-Vishik trace for Fourier Integral Operators and the Laurent expansion of -functions
Tobias Hartung, Simon Scott
Based on Guillemin's work on gauged Lagrangian distributions, we will introduce the notion of a poly--homogeneous distribution as an approach to -functions for a class of…
Log-TQFT and torsion
Simon Scott
Logarithmic representations of the bordism category are considered as a framework for capturing a class of additive invariants characterising Reidemeister torsions.
Characteristic Classes and Zeroth Order Pseudodifferential Operators
Andrés Larrain-Hubach, Steven Rosenberg, Simon Scott +1
We provide evidence for the conjecture that the Wodzicki-Chern classes vanish for all bundles with the group Z of invertible zeroth order pseudodifferential operators as structure…
Eta forms and determinant lines
Simon Scott
We show that there is a canonical construction of a zeta (Bismut-Quillen) connection on the determinant line bundle of a family of APS elliptic boundary problems and that it has cu…