An example concerning Ohtsuki's invariant and the full SO(3) quautum invariant

2000/05/31 by Banghe Li, Bang-He Li, Tianjun Li +3
Mathematics · #Algebraic structures and combinatorial models #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #math.QA

paper · pdf · doi:10.48550/arxiv.math/0005296

Latex. To appear in Letters in Math. Physics

arxiv created 2000/05/31 · openalex publication_date 2000/05/31 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Two lens spaces are given to show that Ohtsuki's τ for rational homology spheres does not determine Kirby-Melvin's \τ_r^', r odd≥3\

Citations

• Invariants of 3-manifolds via link polynomials and quantum groups

Related

• Kirby-Melvin's τ_r^' and Ohtsuki's τ for Lens spaces
• Fermat limit and congruence of Ohtsuki invariants
• On Ohtsuki's invariants of integral homology 3-spheres, I
• Two Representations of the Fundamential Group and Invariants of Lens Spaces
• The Aarhus integral of rational homology 3-spheres III: The Relation with the Le-Murakami-Ohtsuki Invariant