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Infinitely many monotone Lagrangian tori in higher projective spaces

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arxiv 2307.06934 v1 pith:J7XNKNMJ submitted 2023-07-13 math.SG

Soham Chanda , Amanda Hirschi , Luya Wang This is my paper · ORCID
classification math.SG
keywords projectivetoriinfinitelylagrangianmanyspacesapplicationcomplex
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Vianna constructed infinitely many exotic Lagrangian tori in the complex projective plane. We lift these tori to higher-dimensional projective spaces and show that they remain non-symplectomorphic. Our proof is elementary except for an application of the wall-crossing formula by Pascaleff-Tonkonog.

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  1. Extremal Lagrangian tori in toric domains

    math.SG 2025-04 conditional novelty 7.0 of 10

    Every extremal Lagrangian torus in the standard symplectic ball lies entirely on the boundary, settling a conjecture of Cieliebak and Mohnke in all dimensions.

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