Lagrangian fillings for Legendrian links of finite type

Published 6 Jan 2021 in math.SG, math.CO, and math.GT | (2101.01943v1)

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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