50 citations · 169 across the 22 of their papers we have counts for
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math.SG2015★ 7 cited
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…
math.SG2015★ 23 cited
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…