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arXiv · 2506.10519

Cotangent Bundles as Coadjoint Orbits and Asymptotic Character Formulas

Michael Gjertsen·Alexander Schmeding
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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.

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Michael Gjertsen, Alexander Schmeding. 2025-06-12. Cotangent Bundles as Coadjoint Orbits and Asymptotic Character Formulas. https://arxiv.org/abs/2506.10519

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