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String-net model of Turaev-Viro invariants
, 2011 In this paper, we describe the relation between the Turaev--Viro TQFT and the string-net space introduced in the papers of Levin and Wen. In particular, the case of surfaces with boundary is considered in detail.
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Admissible colourings of 3-manifold triangulations for Turaev-Viro type invariants
, 2015 Turaev Viro invariants are amongst the most powerful tools to distinguish 3-manifolds: They are implemented in mathematical software, and allow practical computations. The invariants can be computed purely combinatorially by enumerating colourings on the edges of a triangulation T. These edge colourings can be interpreted as embeddings of surfaces in T.
Maria, Clément, Spreer, Jonathan
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Homologically trivial part of the Turaev-Viro invariant order 7
, 2022 This is a translation into English of the paper published in Siberian Electronic Mathematical Reports, 2022, Vol.
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The Turaev-Viro Invariants of All Orientable Closed Seifert Fibered Manifolds
Tokyo Journal of Mathematics, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Turaev--Viro invariants and profinite completions of surface bundles
We prove that the Turaev--Viro invariants of the two surface bundles over the circle coincide for every spherical fusion category if the surface group is procongruently conjugacy separable and there exists a regular profinite isomorphism between the fundamental groups.
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Seifert fibered 3-manifolds and Turaev-Viro invariants volume conjecture
We study the large $r$ asymptotic behaviour of the Turaev-Viro invariants of oriented Seifert fibered 3-manifolds at the root $q=e^\frac{2πi}{r}$. As an application, we prove the volume conjecture for large families of oriented Seifert fibered 3-manifolds with empty and non-empty boundary.
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On a simple invariant of Turaev-Viro type
Journal of Mathematical Sciences, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Matveev, S. V., Sokolov, M. V.
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2003
These invariants were first described by V. Turaev and 0. Viro [121]. They possess two important properties. First, just like homology groups, they are easy to calculate. Only the limitations of the computer at hand may cause some difficulties. Second, they are very powerful, especially if used together with the first homology group.
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These invariants were first described by V. Turaev and 0. Viro [121]. They possess two important properties. First, just like homology groups, they are easy to calculate. Only the limitations of the computer at hand may cause some difficulties. Second, they are very powerful, especially if used together with the first homology group.
openaire +1 more source