A KK-theoretic perspective of quantization commutes with reduction
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2020
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| _version_ | 1866916934039109632 |
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| author | Rodsphon, Rudy |
| author_facet | Rodsphon, Rudy |
| contents | We reframe Paradan-Vergne's approach to quantization commutes with reduction in KK-theory through a recent formalism introduced by Kasparov, focusing more especially the index theoretic parts that lead to their "Witten non-abelian localization formula". While our method uses the same ingredients as their's in spirit, interesting conceptual simplifications occur, and the relationship to the Ma-Tian-Zhang analytic approach becomes quite transparent. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2011_00643 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | A KK-theoretic perspective of quantization commutes with reduction Rodsphon, Rudy K-Theory and Homology Differential Geometry Operator Algebras We reframe Paradan-Vergne's approach to quantization commutes with reduction in KK-theory through a recent formalism introduced by Kasparov, focusing more especially the index theoretic parts that lead to their "Witten non-abelian localization formula". While our method uses the same ingredients as their's in spirit, interesting conceptual simplifications occur, and the relationship to the Ma-Tian-Zhang analytic approach becomes quite transparent. |
| title | A KK-theoretic perspective of quantization commutes with reduction |
| topic | K-Theory and Homology Differential Geometry Operator Algebras |
| url | https://arxiv.org/abs/2011.00643 |