Invariants of 3-manifolds derived from universal invariants of framed links

DOI10.1017/S0305004100073102zbMath0859.57018MaRDI QIDQ4839906

Tomotada Ohtsuki

Publication date: 7 April 1997

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

zbMATH Keywords

3-manifoldslinkHopf algebraquantum invariantuniversal link invariant

Mathematics Subject Classification ID

Related Items (11)

Non-semisimple 3-manifold invariants derived from the Kauffman bracket ⋮ Integrality and gauge dependence of Hennings TQFTs ⋮ Double construction for crossed Hopf coalgebras. ⋮ Bottom tangles and universal invariants ⋮ Renormalized Hennings invariants and \(2+1\)-TQFTs ⋮ Three-manifold invariants associated with restricted quantum groups ⋮ Relationship of the Hennings and Witten–Reshetikhan–Turaev invariants for higher rank quantum groups ⋮ On the relation between the WRT invariant and the Hennings invariant ⋮ COHOMOLOGY OF FROBENIUS ALGEBRAS AND THE YANG-BAXTER EQUATION ⋮ 3-dimensional TQFTs from non-semisimple modular categories ⋮ LOGARITHMIC KNOT INVARIANTS ARISING FROM RESTRICTED QUANTUM GROUPS

Cites Work

• On Kirby's calculus of links
• 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
• COLORED RIBBON HOPF ALGEBRAS AND UNIVERSAL INVARIANTS OF FRAMED LINKS

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