Skein theory and Turaev-Viro invariants (Q1910453)

Using the so-called chain mail the author identifies two sets of quantum 3-manifold invariants. These were defined by Reshetikin-Turaev respectively Turaev-Viro using different presentations of 3-manifolds and also different quantum initial data. This identification was first done by Walker and Turaev using more complicated methods. In addition, the paper contains a proof that the 4-dimensional quantum invariants defined by Crane-Yetter are in fact determined by the Euler characteristic and signature of the 4-manifold.