Augmentations and immersed Lagrangian fillings

Yu Pan, Dan Rutherford

For a Legendrian link $\Lambda \subset J^{1}M$ with $M=\mathbb{R}$ or $S^1$, immersed exact Lagrangian fillings $L \subset \mbox{Symp}(J^1M) \cong T^*(\mathbb{R}_{>0} \times M)$ of $\Lambda$ ca…