The correspondence between augmentations and rulings for Legendrian knots
classification
🧮 math.SG
math.GT
keywords
augmentationsknotslegendrianchekanovcompletecontactcorrespondenceestablishing
read the original abstract
We strengthen the link between holomorphic and generating-function invariants of Legendrian knots by establishing a formula relating the number of augmentations of a knot's contact homology to the complete ruling invariant of Chekanov and Pushkar.
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