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Exact Lagrangian caps of Legendrian knots

Published 19 Sep 2013 in math.SG and math.GT | (1309.5101v1)

Abstract: We prove that any Legendrian knot in $(S3,\xi_{std})$ bounds an exact Lagrangian surface in $\mathbb{R}4\setminus B4$ 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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Authors (1)

  1. Francesco Lin 

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