The Chern class for $K_3$ and the cyclic quantum dilogarithm
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arXiv
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866910386789285888 |
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| author | Hutchinson, Kevin |
| author_facet | Hutchinson, Kevin |
| contents | In this note we confirm the conjecture of Calegari, Garoufalidis and Zagier in their recent paper in Ann. Sci. École Normale Sup. that $R_ζ=c_ζ^2$, where $R_ζ$ is their map on $K_3$ defined using the cyclic quantum dilogarithm and $c_ζ$ is the Chern class map on $K_3$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2104_14413 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | The Chern class for $K_3$ and the cyclic quantum dilogarithm Hutchinson, Kevin K-Theory and Homology 19G99 In this note we confirm the conjecture of Calegari, Garoufalidis and Zagier in their recent paper in Ann. Sci. École Normale Sup. that $R_ζ=c_ζ^2$, where $R_ζ$ is their map on $K_3$ defined using the cyclic quantum dilogarithm and $c_ζ$ is the Chern class map on $K_3$. |
| title | The Chern class for $K_3$ and the cyclic quantum dilogarithm |
| topic | K-Theory and Homology 19G99 |
| url | https://arxiv.org/abs/2104.14413 |