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arXiv · 2101.01943

Lagrangian fillings for Legendrian links of finite type

Byung Hee An·Youngjin Bae·Eunjeong Lee
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Abstract

We prove that there are at least seeds many exact embedded Lagrangian fillings for Legendrian links of type $\mathsf{ADE}$. We also provide seeds many Lagrangian fillings with certain symmetries for type $\mathsf{BCFG}$. Our main tools are $N$-graphs and the combinatorics of seed patterns of finite type.

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Byung Hee An, Youngjin Bae, Eunjeong Lee. 2021-01-06. Lagrangian fillings for Legendrian links of finite type. https://arxiv.org/abs/2101.01943

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