The FKB invariant is the 3d index
The FKB invariant is the 3d index
We identify the 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 Dimofteā€“ Gaiottoā€“Gukov. This implies the topological invariance of the q -series of Frohman and Kania- Bartoszynska for cusped hyperbolic 3 -manifolds. Conversely, we identify ā€¦