The Chern class for $K_3$ and the cyclic quantum dilogarithm

Fuente: arXiv
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Autore principale: Hutchinson, Kevin
Natura: Preprint
Pubblicazione: 2021
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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
id 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