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On colored Turaev-Viro invariants for links in arbitrary 3-manifolds
Ekaterina Pervova, Carlo Petronio
We consider certain invariants of links in 3-manifolds, obtained by a specialization of the Turaev-Viro invariants of 3-manifolds, that we call colored Turaev-Viro invariants. Thei…
math.GT2007
The 191 orientable octahedral manifolds
Damian Heard, Ekaterina Pervova, Carlo Petronio
We enumerate all spaces obtained by gluing in pairs the faces of the octahedron in an orientation-reversing fashion. Whenever such a gluing gives rise to non-manifold points, we re…