Now showing items 1-2 of 2

    • 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 ...
    • The cardinality of the augmentation category of a Legendrian link 

      Ng, L; Rutherford, D; Shende, V; Sivek, S (Mathematical Research Letters, 2017)
      We introduce a notion of cardinality for the augmentation category associated to a Legendrian knot or link in standard contact R3. This ℓhomotopy cardinality' is an invariant of the category and allows for a weighted count ...