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Mathematics > K-Theory and Homology
Title: The Chern class for $K_3$ and the cyclic quantum dilogarithm
(Submitted on 29 Apr 2021 (v1), last revised 27 Mar 2024 (this version, v4))
Abstract: In this note we confirm the conjecture of Calegari, Garoufalidis and Zagier in their recent paper in Ann. Sci. \'{E}cole Normale Sup. that $R_\zeta=c_\zeta^2$, where $R_\zeta$ is their map on $K_3$ defined using the cyclic quantum dilogarithm and $c_\zeta$ is the Chern class map on $K_3$.
Submission history
From: Kevin Hutchinson [view email][v1] Thu, 29 Apr 2021 15:24:09 GMT (14kb)
[v2] Fri, 30 Apr 2021 14:35:55 GMT (14kb)
[v3] Wed, 2 Aug 2023 16:16:20 GMT (15kb)
[v4] Wed, 27 Mar 2024 17:02:49 GMT (14kb)
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