The Residue Determinant

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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.

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Analysis of PDEs, High Energy Physics - Theory, Differential Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/71549

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0406268
 http://arxiv.org/abs/math/0406268

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arXiv