A General Dixmier Trace Formula for the Density of States on Open Manifolds

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2024
• Hauptverfasser: Hekkelman, Eva-Maria, McDonald, Edward
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2024
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/212116
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: A General Dixmier Trace Formula for the Density of States on Open Manifolds. Eva-Maria Hekkelman and Edward McDonald. SIGMA 20 (2024), 007, 34 pages

We give an abstract formulation of the Dixmier trace formula for the density of states. This recovers prior versions and allows us to provide a Dixmier trace formula for the density of states of second-order elliptic differential operators on manifolds of bounded geometry satisfying a certain geomet...