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

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

2002-11-04

arxiv.org/abs/math/0211053v1

Geom. Topol. Monogr. 4 (2002) 13-28

Mathematics

Geometric Topology

Published by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon4/paper2.abs.html

Scientific paper

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.

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