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

Abstract

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

This paper has been withdrawn by the author because Theorem 1.1 is incorrect

References in corpus (2)

• Lagrangian isotopy of tori in $S^2\times S^2$ and $\mathbb{C}{P}^2$
• Isotropic tori in ${\mathbb{C}}^m$ revisited