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Lagrangian fillings for Legendrian links of finite type

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arxiv 2101.01943 v1 pith:UEPYEEV5 submitted 2021-01-06 math.SG math.COmath.GT

Byung Hee An , Youngjin Bae , Eunjeong Lee This is my paper · ORCID
classification math.SGmath.COmath.GT
keywords typefillingslagrangianfinitelegendrianlinksmanymathsf
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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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  1. Legendrian doubles, twist spuns, and clusters

    math.SG 2025-05 conditional novelty 6.0 of 10

    The authors construct cluster structures on sheaf moduli of twist-spun Legendrian surfaces and use them to produce new exact Lagrangian fillings and obstructions in contact R^5.

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