A polynomial invariant of integral homology 3-spheres

DOI10.1017/S0305004100072935zbMath0843.57019OpenAlexW2045605056MaRDI QIDQ4697491

Tomotada Ohtsuki

Publication date: 18 August 1996

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100072935

zbMATH Keywords

quantum group3-manifoldhomology 3-sphereSU(2)-invariants

Mathematics Subject Classification ID

Related Items (25)

On Vassiliev knot invariants induced from finite type 3-manifold invariants ⋮ The trivial connection contribution to Witten's invariant and finite type invariants of rational homology spheres ⋮ Quantum invariants, modular forms, and lattice points II ⋮ Polynomial invariants for Algebraically Split Links ⋮ ON OHTSUKI'S INVARIANTS OF HOMOLOGY 3-SPHERES ⋮ Witten's invariants of rational homology spheres at prime values of \(K\) and trivial connection contribution ⋮ ON THE QUANTUM INVARIANT FOR THE BRIESKORN HOMOLOGY SPHERES ⋮ Bing doubling and the colored Jones polynomial ⋮ QuantumSO(3)-invariants dominate theSU(2)-invariant of Casson and Walker ⋮ Three-manifold invariants associated with restricted quantum groups ⋮ Surgery equivalence relations for 3-manifolds ⋮ Modified Turaev-Viro invariants from quantum 𝔰𝔩(2|1) ⋮ Resurgence analysis of quantum invariants of Seifert fibered homology spheres ⋮ Asymptotic expansions of Witten–Reshetikhin–Turaev invariants for some simple 3-manifolds ⋮ Singular maps on exotic 4-manifold pairs ⋮ Modular group representations associated to SO(p)2-TQFTS ⋮ On \(p\)-adic convergence of perturbative invariants of some rational homology spheres ⋮ A unified Witten-Reshetikhin-Turaev invariant for integral homology spheres ⋮ Cyclotomic completions of polynomial rings ⋮ Invariants of Three-Manifolds, Unitary Representations of the Mapping Class Group, and Numerical Calculations ⋮ OHTSUKI INVARIANTS FOR INTEGRAL HOMOLOGY SPHERES AND HABIRO'S CYCLOTOMIC EXPANSION ⋮ A two-variable series for knot complements ⋮ On Ohtsuki's invariants of integral homology 3-spheres ⋮ ON HABIRO'S CYCLOTOMIC EXPANSIONS OF THE OHTSUKI INVARIANT ⋮ FORMULAS FOR THE CASSON INVARIANT OF CERTAIN INTEGRAL HOMOLOGY 3-SPHERES

Cites Work

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• Quantum field theory and the Jones polynomial
• The 3-manifold invariants of Witten and Reshetikhin-Turaev for sl\((2,\mathbb{C})\)
• A calculus for framed links in \(S^3\)
• Invariants of 3-manifolds via link polynomials and quantum groups
• A polynomial invariant for knots via von Neumann algebras
• COLORED RIBBON HOPF ALGEBRAS AND UNIVERSAL INVARIANTS OF FRAMED LINKS

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