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arXiv · 1309.5101

Exact Lagrangian caps of Legendrian knots

Francesco Lin
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Abstract

We prove that any Legendrian knot in $(S^3,ξ_{std})$ 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.

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Francesco Lin. 2013-09-19. Exact Lagrangian caps of Legendrian knots. https://arxiv.org/abs/1309.5101

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