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

Infinitely many monotone Lagrangian tori in higher projective spaces

Soham Chanda , Amanda Hirschi , Luya Wang This is my paper
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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Existence of pseudo-holomorphic disks via non-archimedean disk potentials

    math.SG 2026-06 unverdicted novelty 7.0

    Existence of Maslov index 2 pseudo-holomorphic disks for isotoped monotone Lagrangians is established using a non-archimedean analytic disk potential invariant.

  2. Augmentation varieties and disk potentials III

    math.SG 2024-01 unverdicted novelty 7.0

    Establishes equality between augmentation varieties and disk potential zero sets for Legendrian covers of monotone tori in circle-fibered contact manifolds, with applications to non-isotopy and non-fillability.