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arXiv · 1603.09437

Exact Lagrangian tori in $T^*\mathbb{T}^n$

Mei-Lin Yau
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Abstract

We show that for $n\geq 2$ there exists an exact Lagrangian submanifold $L$ in the cotangent bundle $T^*\mathbb{T}^n$ of the $n$-dimensional torus $\mathbb{T}^n$ such that $L$ is symplectically but not Hamiltonian isotopic to the zero section of $T^*\mathbb{T}^n$.

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Mei-Lin Yau. 2016-03-31. Exact Lagrangian tori in $T^*\mathbb{T}^n$. https://arxiv.org/abs/1603.09437

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