Neumann's strong conjecture on Bloch groups of number fields
Neumann's strong conjecture on Bloch groups of number fields
Let be a concrete number field which is not contained in . Let be the Bloch group of , and call a hyperbolic -manifold admissible over when its invariant trace field is contained in . Neumann's strong conjecture. The Bloch group is generated integrally modulo torsion by admissible hyperbolic -manifolds. The conjecture refines generation over to each non-real concrete number field; the source gives no resolution.
Sources & referencesView supporting material
Primary source
Stavros Garoufalidis, Dylan P. Thurston and Christian K. Zickert, “The complex volume of SL(n,C)-representations of 3-manifolds”, arXiv:1111.2828 (2013).
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