The FKB invariant is the 3d index

Quantum topology

article

Stavros Garoufalidis¹  Roland van der Veen² 

[1] Southern University of Science and Technology;University of Groningen

关键词: Idealtriangulations;    spines;    3-manifolds;    normalsurfaces;    TQFT;    idealtetrahedron;    3D-index;    Turaev–Viroinvariants;    quantum6j-symbols;    tetrahedronindex;   

DOI  :  10.4171/qt/171

学科分类：内科医学

来源: European Mathematical Society

【 摘 要 】

We identify the qqq-series associated to an 111-efficient ideal triangulation of a cusped hyperbolic 333-manifold by Frohman and Kania-Bartoszynska with the 3D-index of Dimofte– Gaiotto–Gukov. This implies the topological invariance of the qqq-series of Frohman and Kania- Bartoszynska for cusped hyperbolic 333-manifolds. Conversely, we identify the tetrahedron index of Dimofte–Gaiotto–Gukov as a limit of quantum 6j6j6j-symbols.

【 授权许可】

CC BY