For Legendrian knots in standard contact R3, the projection from the simply perturbed positive augmentation category to the circle category carries a weak right relative Calabi-Yau structure of dimension 2.
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Weak Relative Calabi-Yau Structures for Legendrian Contact Homology
For Legendrian knots in standard contact R3, the projection from the simply perturbed positive augmentation category to the circle category carries a weak right relative Calabi-Yau structure of dimension 2.