Uniqueness of multiplicative determinants on elliptic pseudodifferential operators

DOI10.1112/plms/pdm004zbMath1193.58018OpenAlexW2128203381MaRDI QIDQ5292712

Jean-Marie Lescure, Sylvie Paycha

Publication date: 22 June 2007

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/pdm004

zbMATH Keywords

noncommutative residueclassical pseudodifferential operatorsmultiplicative determinants

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Pseudodifferential and Fourier integral operators on manifolds (58J40) Determinants and determinant bundles, analytic torsion (58J52) Noncommutative global analysis, noncommutative residues (58J42)

Related Items (10)

ON THE SINGULARITIES OF THE ZETA AND ETA FUNCTIONS OF AN ELLIPTIC OPERATOR ⋮ Log TQFT ⋮ The geometry of loop spaces. II: Characteristic classes. ⋮ The multiplicative anomaly for determinants revisited; locality ⋮ Residue-torsion and the Laplacian on Riemannian manifolds ⋮ On the topology of the space of invertible pseudodifferential operators of order 0 ⋮ Determinants of classical SG‐pseudodifferential operators ⋮ Traces on pseudodifferential operators and sums of commutators ⋮ Noncommutative residue and canonical trace on noncommutative tori. Uniqueness results ⋮ Chern–Weil Theory for Certain Infinite-Dimensional Lie Groups

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