A Pseudodifferential Analytic Perspective on Getzler's Rescaling

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...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2024
Main Authors: Habib, Georges, Paycha, Sylvie
Format: Article
Language:English
Published: Інститут математики НАН України 2024
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/212113
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:A Pseudodifferential Analytic Perspective on Getzler's Rescaling. Georges Habib and Sylvie Paycha. SIGMA 20 (2024), 010, 34 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine