English

Twisted Conormal Bundles and Canonical Relations

Symplectic Geometry 2022-07-26 v2 Spectral Theory

Abstract

I study a special type of canonical relations given by twisted conormal bundles, construct a "subcategory" of the symplectic "category" out of these canonical relations and quantize them into semi-classical Fourier integral operators. Furthermore, I give a description of the intrinsic line bundle of symbols of these operators and describe how the symbols compose when the operators compose.

Keywords

Cite

@article{arxiv.1901.00382,
  title  = {Twisted Conormal Bundles and Canonical Relations},
  author = {Zongrui Yang},
  journal= {arXiv preprint arXiv:1901.00382},
  year   = {2022}
}

Comments

The author wishes to withdraw this paper because he later realized that the main theorem was essentially known before in other references

R2 v1 2026-06-23T07:01:26.444Z