Reformulated invariants for non-torus knots and links

2012/09/06 by Zodinmawia, P. Ramadevi, Ramadevi, P. · 1 citation
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #FOS: Mathematics #FOS: Physical sciences #Geometric and Algebraic Topology #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #hep-th #math.QA

paper · pdf · doi:10.48550/arxiv.1209.1346

22 pages, 2 figures

arxiv created 2012/09/06 · openalex publication_date 2012/09/06 · arxiv updated 2012/09/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

Using the Racah coefficients in our earlier paper arXiv:1107.3918, we explicitly write the Chern-Simons field theory invariants for many non-torus knot and links. Further, we have tabulated the reformulated invariants which agrees with the Ooguri-Vafa conjecture for knots and Labastida-Marino-Vafa conjecture for links.

Citations

• SU(N) quantum Racah coefficients & non-torus links
• Composite Invariants and Unoriented Topological String Amplitudes
• Framed knots at large N

Cited by

• Quantum Racah matrices up to level 3 and multicolored link invariants

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