Publications [#332376] of Lenhard L. Ng

Papers Published

1. Ng, L; Rutherford, D; Shende, V; Sivek, S, The cardinality of the augmentation category of a Legendrian link, MATHEMATICAL RESEARCH LETTERS, vol. 24 no. 6 (2017), pp. 1845-1874, International Press [doi]
   (last updated on 2026/01/13)

   Abstract:
   We introduce a notion of cardinality for the augmentation category associated to a Legendrian knot or link in standard contact R^3. This `homotopy cardinality' is an invariant of the category and allows for a weighted count of augmentations, which we prove to be determined by the ruling polynomial of the link. We present an application to the augmentation category of doubly Lagrangian slice knots.