JournalsqtVol. 13, No. 3pp. 525–538

The FKB invariant is the 3d index

  • Stavros Garoufalidis

    Southern University of Science and Technology, Shenzhen, China

  • Roland van der Veen

    University of Groningen, Netherlands
The FKB invariant is the 3d index cover
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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