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arXiv · 2407.00395

Regular Lagrangians are smooth Lagrangians

Tomohiro Asano·Stéphane Guillermou·Yuichi Ike·Claude Viterbo
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Abstract

We prove that for any element in the $\gamma$-completion of the space of smooth compact exact Lagrangian submanifolds of a cotangent bundle, if its $\gamma$-support is a smooth Lagrangian submanifold, then the element itself is a smooth Lagrangian. We also prove that if the $\gamma$-support of an element in the completion is compact, then it is connected.

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Tomohiro Asano, Stéphane Guillermou, Yuichi Ike, Claude Viterbo. 2024-06-29. Regular Lagrangians are smooth Lagrangians. https://arxiv.org/abs/2407.00395

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