QHI, 3-manifolds scissors congruence classes and the volume conjecture

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This is a survey of our work on Quantum Hyperbolic Invariants (QHI) of 3-manifolds. We explain how the theory of scissors congruence classes is a powerful geometric framework for QHI and for a `Volume Conjecture' to make sense.
Published by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon4/paper2.abs.html

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Geometric Topology, Quantum Algebra, 57M27, 57Q15, 57R20, 20G42

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http://salesiana.dossiersoluciones.com/handle/123456789/65532

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0211053
 http://arxiv.org/abs/math/0211053
 Geom. Topol. Monogr. 4 (2002) 13-28

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arXiv