Augmentations and Rulings of Legendrian Links in ${\#}^k(S^1\times S^2)$

Caitlin Leverson

Given a Legendrian link in ${\#}^k(S^1\times S^2)$, we extend the definition of a normal ruling from $J^1(S^1)$ given by Lavrov and Rutherford and show that the existence of an augme…