Now showing items 1-5 of 5

    • A complete knot invariant from contact homology 

      Ekholm, T; Ng, L; Shende, V
      We construct an enhanced version of knot contact homology, and show that we can deduce from it the group ring of the knot group together with the peripheral subgroup. In particular, it completely determines a knot up to ...
    • Knot contact homology 

      Ekholm, T; Etnyre, JB; Ng, L; Sullivan, MG (Geometry & Topology, 2013-04-30)
      The conormal lift of a link K in ℝ3is a Legendrian submanifold ∧Kin the unit cotangent bundle U*ℝ3of ℝ3with contact structure equal to the kernel of the Liouville form. Knot contact homology, a topological link invariant ...
    • Knot contact homology, string topology, and the cord algebra 

      Cieliebak, K; Ekholm, T; Latschev, J; Ng, L (Journal de l’École polytechnique — Mathématiques, 2017)
      The conormal Lagrangian LKof a knot K in R3is the submanifold of the cotangent bundle T∗R3consisting of covectors along K that annihilate tangent vectors to K. By intersecting with the unit cotangent bundle S∗R3, one obtains ...
    • Legendrian contact homology in the boundary of a subcritical Weinstein 4-manifold 

      Ekholm, T; Ng, L (Journal of Differential Geometry, 2015-09)
      We give a combinatorial description of the Legendrian contact homology algebra associated to a Legendrian link in S1× S2or any connected sum #k(S1×S2), viewed as the contact boundary of the Weinstein manifold obtained by ...
    • Topological strings, D-model, and knot contact homology 

      Aganagic, M; Ekholm, T; Ng, L; Vafa, C (Advances in Theoretical and Mathematical Physics, 2014)
      © 2014 International Press. We study the connection between topological strings and contact homology recently proposed in the context of knot invariants. In particular, we establish the proposed relation between the Gromov- ...