A pseudodifferential analytic perspective on Getzler's rescaling

arXiv2303.04013MaRDI QIDQ6151682

Sylvie Paycha, Georges Habib

Publication date: 12 February 2024

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.04013

zbMATH Keywords

Dirac operatorindexspinor bundleWodzicki residue

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) Pseudodifferential and Fourier integral operators on manifolds (58J40) Clifford algebras, spinors (15A66)

Cites Work

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• On the heat equation and the index theorem
• THE LOGARITHMIC RESIDUE DENSITY OF A GENERALIZED LAPLACIAN
• Blowup constructions for Lie groupoids and a Boutet de Monvel type calculus

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