# Lagrangian fillings for Legendrian links of affine type

@inproceedings{An2021LagrangianFF, title={Lagrangian fillings for Legendrian links of affine type}, author={Byung Hee An and Youngjin Bae and Eunjeong Lee}, year={2021} }

We prove that there are at least as many exact embedded Lagrangian fillings as seeds for Legendrian links of affine type D̃Ẽ. We also provide as many Lagrangian fillings with certain symmetries as seeds of type B̃n, F̃4, G̃2, and E (2) 6 . These families are the first known Legendrian links with infinitely many fillings that exhaust all seeds in the corresponding cluster structures. Furthermore, we show that Legendrian realization of Coxeter mutation of type D̃ corresponds to the Legendrian… Expand

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