The FKB invariant is the 3d index (Q2697605)
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scientific article; zbMATH DE number 7673855
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The FKB invariant is the 3d index |
scientific article; zbMATH DE number 7673855 |
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The FKB invariant is the 3d index (English)
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12 April 2023
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Summary: We identify the \(q\) q-series associated to an \(1\)-efficient ideal triangulation of a cusped hyperbolic \(3\)-manifold by Frohman and Kania-Bartoszynska with the 3D-index of Dimofte- Gaiotto-Gukov. This implies the topological invariance of the \(q\)-series of Frohman and Kania-Bartoszynska for cusped hyperbolic \(3\)-manifolds. Conversely, we identify the tetrahedron index of Dimofte-Gaiotto-Gukov as a limit of quantum \(6 j\)-symbols.
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ideal triangulations
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spines
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3-manifolds
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normal surfaces
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TQFT
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ideal tetrahedron
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3D-index
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Turaev-Viro invariants
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quantum \(6j\)-symbols
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tetrahedron index
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