The Bonahon-Wong-Yang volume conjecture for the four-puncture sphere
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866917682400460800 |
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| author | Pandey, Tushar |
| author_facet | Pandey, Tushar |
| contents | We compute the Bonahon-Wong-Yang quantum invariant for self-diffeomorphisms of the four-puncture sphere explicitly, based on the representation theory of the Checkov-Fock algebra. As an application of the computation, we verify the volume conjecture proposed by Bonahon-Wong-Yang for the four puncture sphere bundles with some technical conditions. Together with the one-puncture torus bundles, this is the first family of examples for which the conjecture is verified providing evidence for the conjecture |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_13151 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Bonahon-Wong-Yang volume conjecture for the four-puncture sphere Pandey, Tushar Geometric Topology Mathematical Physics Quantum Algebra We compute the Bonahon-Wong-Yang quantum invariant for self-diffeomorphisms of the four-puncture sphere explicitly, based on the representation theory of the Checkov-Fock algebra. As an application of the computation, we verify the volume conjecture proposed by Bonahon-Wong-Yang for the four puncture sphere bundles with some technical conditions. Together with the one-puncture torus bundles, this is the first family of examples for which the conjecture is verified providing evidence for the conjecture |
| title | The Bonahon-Wong-Yang volume conjecture for the four-puncture sphere |
| topic | Geometric Topology Mathematical Physics Quantum Algebra |
| url | https://arxiv.org/abs/2311.13151 |