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Traces and Determinants of Pseudodifferential Operators
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Traces and Determinants of Pseudodifferential Operators

Simon Scott

Abstract

This text provides a broad account of the theory of traces and determinants on geometric algebras of differential and pseudodifferential operators over compact manifolds. Trace and determinant functionals on geometric operator algebras provide a means of constructing refined invariants in analysis, topology, differential geometry, analytic number theory and QFT. The consequent interactions around such invariants have led to significant advances both in pure mathematics and theoretical physics. As the fundamental tools of trace theory have become well understood and clear general structures hav ... More

Keywords: Traces, determinants, pseudodifferential operators, zeta determinant, residue trace, index theorem, distributions, geometric analysis

Bibliographic Information

Print publication date: 2010 Print ISBN-13: 9780198568360
Published to Oxford Scholarship Online: January 2011 DOI:10.1093/acprof:oso/9780198568360.001.0001

Authors

Affiliations are at time of print publication.

Simon Scott, author
King's College London, UK

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