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arXiv · 2307.06934

Infinitely many monotone Lagrangian tori in higher projective spaces

Soham Chanda·Amanda Hirschi·Luya Wang
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Abstract

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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Soham Chanda, Amanda Hirschi, Luya Wang. 2023-07-13. Infinitely many monotone Lagrangian tori in higher projective spaces. https://arxiv.org/abs/2307.06934

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