50 citations · 405 across the 46 of their papers we have counts for
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The cardinality of the augmentation category of a Legendrian link
Lenhard Ng, Dan Rutherford, Vivek Shende +1
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 t…
Fillings of unit cotangent bundles
Steven Sivek, Jeremy Van Horn-Morris
We study the topology of exact and Stein fillings of the canonical contact structure on the unit cotangent bundle of a closed surface , where is at least 2. In particular,…
Quasi-alternating links with small determinant
Tye Lidman, Steven Sivek
Quasi-alternating links of determinant 1, 2, 3, and 5 were previously classified by Greene and Teragaito, who showed that the only such links are two-bridge. In this paper, we exte…
Augmentations are Sheaves
Lenhard Ng, Dan Rutherford, Vivek Shende +2
We show that the set of augmentations of the Chekanov-Eliashberg algebra of a Legendrian link underlies the structure of a unital A-infinity category. This differs from the non-uni…