%0 Journal Article %T Exact Lagrangian caps of Legendrian knots %A Francesco Lin %J Mathematics %D 2013 %I arXiv %X We prove that any Legendrian knot in $(S^3,\xi_{std})$ bounds an exact Lagrangian surface in $\mathbb{R}^4\setminus B^4$ after a sufficient number of stabilizations. In order to show this, we construct a family combinatorial moves on knot projections with some additional data that correspond to Lagrangian cobordisms between knots. %U http://arxiv.org/abs/1309.5101v1