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Augmentations and rulings of Legendrian links in #k(S1× S2)

Augmentations and rulings of Legendrian links in #k(S1× S2)

Given a Legendrian link in # k pS 1 ˆS2 q, we extend the definition of a normal ruling from J 1 pS 1 q given by Lavrov and Rutherford and show that the existence of an augmentation to any field of the Chekanov-Eliashberg differential graded algebra over Z rt, …