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arXiv · 1607.03167

Exact Lagrangian Fillings of Legendrian $(2,n)$ torus links

Yu Pan
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Abstract

For a Legendrian $(2,n)$ torus knot or link with maximal Thurston-Bennequin number, Ekholm, Honda, and Kálmán constructed $C_n$ exact Lagrangian fillings, where $C_n$ is the $n$-th Catalan number. We show that these exact Lagrangian fillings are pairwise non-isotopic through exact Lagrangian isotopy. To do that, we compute the augmentations induced by the exact Lagrangian fillings $L$ to $\mathbb{Z}_2[H_1(L)]$ and distinguish the resulting augmentations.

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Yu Pan. 2016-07-11. Exact Lagrangian Fillings of Legendrian $(2,n)$ torus links. https://doi.org/10.2140/pjm.2017.289.417

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