English

Asymptotic pseudodifferential calculus and the rescaled bundle

Differential Geometry 2023-12-11 v1

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.

Cite

@article{arxiv.2312.04769,
  title  = {Asymptotic pseudodifferential calculus and the rescaled bundle},
  author = {Xiaoman Chen and Zelin Yi},
  journal= {arXiv preprint arXiv:2312.04769},
  year   = {2023}
}
R2 v1 2026-06-28T13:44:38.987Z