# Obstructing Lagrangian concordance for closures of 3-braids

@inproceedings{Wu2022ObstructingLC, title={Obstructing Lagrangian concordance for closures of 3-braids}, author={Angelina A. Wu}, year={2022} }

. We show that any knot which is smoothly the closure of a 3-braid cannot be Lagrangian concordant to and from the maximum Thurston-Bennequin Legendrian unknot except the unknot itself. Our obstruction comes from drawing the Weinstein handlebody diagrams of particular symplectic ﬁllings of cyclic branched double covers of knots in S 3 . We use the Legendrian contact homology diﬀerential graded algebra of the links in these diagrams to compute the symplectic homology of these ﬁllings to derive a…

## One Citation

### Doubly slice knots and obstruction to Lagrangian concordance

- 2022

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