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

Mei-Lin Yau

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

Symplectic Geometry 2016-04-05 v2 Geometric Topology

Authors: Mei-Lin Yau

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 $T^*\mathbb{T}^n$ .

Keywords

exact Lagrangian submanifold cotangent bundle torus symplectic isotopy Hamiltonian isotopy zero section

Cite

@article{arxiv.1603.09437,
  title  = {Exact Lagrangian tori in $T^*\mathbb{T}^n$},
  author = {Mei-Lin Yau},
  journal= {arXiv preprint arXiv:1603.09437},
  year   = {2016}
}

Comments

This paper has been withdrawn by the author because Theorem 1.1 is incorrect

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