Browsing by Subject "LAGRANGIAN CONCORDANCE"

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    The cardinality of the augmentation category of a Legendrian link
    (Mathematical Research Letters, 2017) Ng, L; Rutherford, D; Shende, V; Sivek, S
    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 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.