A Pseudodifferential Analytic Perspective on Getzler's Rescaling

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2024
• ISSN: 1815-0659
• Hauptverfasser: Habib, Georges, Paycha, Sylvie
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2024
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/212113
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: A Pseudodifferential Analytic Perspective on Getzler's Rescaling. Georges Habib and Sylvie Paycha. SIGMA 20 (2024), 010, 34 pages

Inspired by Gilkey's invariance theory, Getzler's rescaling method, and Scott's approach to the index via Wodzicki residues, we give a localisation formula for the ℤ₂ -graded Wodzicki residue of the logarithm of a class of differential operators acting on sections of a spinor bundle o...