The FKB invariant is the 3d index
Stavros Garoufalidis
Southern University of Science and Technology, Shenzhen, ChinaRoland van der Veen
University of Groningen, Netherlands
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Abstract
We identify the -series associated to an -efficient ideal triangulation of a cusped hyperbolic -manifold by Frohman and Kania-Bartoszynska with the 3D-index of Dimofte– Gaiotto–Gukov. This implies the topological invariance of the -series of Frohman and Kania- Bartoszynska for cusped hyperbolic -manifolds. Conversely, we identify the tetrahedron index of Dimofte–Gaiotto–Gukov as a limit of quantum -symbols.
Cite this article
Stavros Garoufalidis, Roland van der Veen, The FKB invariant is the 3d index. Quantum Topol. 13 (2022), no. 3, pp. 525–538
DOI 10.4171/QT/171