Cotangent Bundles as Coadjoint Orbits and Asymptotic Character Formulas
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866908405741912064 |
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| author | Gjertsen, Michael Schmeding, Alexander |
| author_facet | Gjertsen, Michael Schmeding, Alexander |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_10519 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cotangent Bundles as Coadjoint Orbits and Asymptotic Character Formulas Gjertsen, Michael Schmeding, Alexander Symplectic Geometry Representation Theory 53D50 (Primary), 17B08, 22E65, 22E66, 22A22 (Secondary) 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. |
| title | Cotangent Bundles as Coadjoint Orbits and Asymptotic Character Formulas |
| topic | Symplectic Geometry Representation Theory 53D50 (Primary), 17B08, 22E65, 22E66, 22A22 (Secondary) |
| url | https://arxiv.org/abs/2506.10519 |