Cotangent Bundles as Coadjoint Orbits and Asymptotic Character Formulas

Published 12 Jun 2025 in math.SG and math.RT | (2506.10519v1)

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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