Asymptotic pseudodifferential calculus and the rescaled bundle

Xiaoman Chen; Zelin Yi

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arXiv · 2312.04769

Asymptotic pseudodifferential calculus and the rescaled bundle

Xiaoman Chen·Zelin Yi

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Abstract

By following a groupoid approach to pseudodifferential calculus developed by Van erp and Yuncken, we study the parallel theory on the rescaled bundle and show that the rescaled bundle gives a geometric characterization to asymptotic pseudodifferential calculus on spinor bundles by Block and Fox.

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Xiaoman Chen, Zelin Yi. 2023-12-08. Asymptotic pseudodifferential calculus and the rescaled bundle. https://arxiv.org/abs/2312.04769

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