Cotangent Bundles as Coadjoint Orbits and Asymptotic Character Formulas
Symplectic Geometry
2025-06-13 v1 Representation Theory
Abstract
The present article presents geometric quantization on cotangent bundles as a special instance of Kirillov's orbit method. To this end, the cotangent bundle is realized as a coadjoint orbit of an infinite-dimensional Lie group constructed from the diffeomorphism group. We also develop two asymptotic character formulas by employing the tangent groupoid.
Keywords
Cite
@article{arxiv.2506.10519,
title = {Cotangent Bundles as Coadjoint Orbits and Asymptotic Character Formulas},
author = {Michael Gjertsen and Alexander Schmeding},
journal= {arXiv preprint arXiv:2506.10519},
year = {2025}
}
Comments
37 pages, uses TikZ