A third construction of the 3d quantum trace map is proposed that agrees with Garoufalidis-Yu and relates to Panitch-Park via common subdivision of face suspensions and ideal tetrahedra into face cones.
Quantum trace map for 3-manifolds and a length conjecture , 2022, arXiv:2203.15985
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On 3d Quantum Trace Maps
A third construction of the 3d quantum trace map is proposed that agrees with Garoufalidis-Yu and relates to Panitch-Park via common subdivision of face suspensions and ideal tetrahedra into face cones.