The Residue Determinant
Analysis of PDEs
2007-05-23 v7 High Energy Physics - Theory
Differential Geometry
Abstract
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 trace. The resulting functional is multiplicative, a local invariant, and not defined by a regularization procedure. The residue determinant is consequently a quite different object to the zeta function (quasi-) determinant, which is non-local and non-multiplicative.
Keywords
Cite
@article{arxiv.math/0406268,
title = {The Residue Determinant},
author = {Simon Scott},
journal= {arXiv preprint arXiv:math/0406268},
year = {2007}
}