Atiyah, Michael The Jones-Witten invariants of knots. (English) Zbl 0739.57001 Sémin. Bourbaki, Vol. 1989/90, 42ème année, Astérisque 189-190, Exp. No. 715, 7-16 (1990). Show indexed articles as search result. [For the entire collection see Zbl 0722.00001.]This expository article provides an introduction to the Jones polynomial for links in \(S^ 3\) and its generalization to Witten invariants for links in a compact 3-manifold, including the relative case. An approach to Witten invariants through the moduli space of holomorphic \(SL(2,C)\)- bundles over a Riemann surface is briefly described. Reviewer: T.Lawson (New Orleans) Cited in 2 Documents MSC: 57M25 Knots and links in the \(3\)-sphere (MSC2010) 57N10 Topology of general \(3\)-manifolds (MSC2010) Keywords:topological quantum field theory; Jones polynomial; Witten invariants for links in a compact 3-manifold; moduli space of holomorphic \(SL(2,C)\)- bundles over a Riemann surface Citations:Zbl 0722.00001 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML