QHI, 3-manifolds scissors congruence classes and the volume conjecture
arXiv:math/0211053
Abstract
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