中文版 | English
Title

The FKB invariant is the 3d index

Author
Corresponding AuthorGaroufalidis, Stavros
Publication Years
2022
DOI
Source Title
ISSN
1663-487X
EISSN
1664-073X
Volume13Issue:3
Abstract
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 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 6j -symbols.
Keywords
URL[Source Record]
Indexed By
Language
English
SUSTech Authorship
First ; Corresponding
WOS Research Area
Mathematics ; Physics
WOS Subject
Mathematics ; Quantum Science & Technology
WOS Accession No
WOS:000923934200003
Publisher
Data Source
Web of Science
Citation statistics
Cited Times [WOS]:0
Document TypeJournal Article
Identifierhttp://kc.sustech.edu.cn/handle/2SGJ60CL/475008
DepartmentDepartment of Mathematics
Affiliation
1.Southern Univ Sci & Technol, Int Ctr Math, Dept Math, Shenzhen, Peoples R China
2.Univ Groningen, Bernoulli Inst, POB 407, NL-9700 AK Groningen, Netherlands
First Author AffilicationDepartment of Mathematics
Corresponding Author AffilicationDepartment of Mathematics
First Author's First AffilicationDepartment of Mathematics
Recommended Citation
GB/T 7714
Garoufalidis, Stavros,van der Veen, Roland. The FKB invariant is the 3d index[J]. Quantum Topology,2022,13(3).
APA
Garoufalidis, Stavros,&van der Veen, Roland.(2022).The FKB invariant is the 3d index.Quantum Topology,13(3).
MLA
Garoufalidis, Stavros,et al."The FKB invariant is the 3d index".Quantum Topology 13.3(2022).
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