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math.SG2021
Augmentations and sheaves for links
Honghao Gao
We study the relation between augmentations and sheaves in the context of framed oriented links. In this set up, we find slightly more sheaves than augmentations. After removing th…
math.SG2021
Non-fillable augmentations of twist knots
Honghao Gao, Dan Rutherford
We establish new examples of augmentations of Legendrian twist knots that cannot be induced by orientable Lagrangian fillings. To do so, we use a version of the Seidel-Ekholm-Dimit…