Twisted Conormal Bundles and Canonical Relations

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.

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