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arXiv · 1407.3725

Infinitely many monotone Lagrangian tori in $\mathbb{R}^6$

Denis Auroux
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Abstract

We construct infinitely many families of monotone Lagrangian tori in $\mathbb{R}^6$, no two of which are related by Hamiltonian isotopies (or symplectomorphisms). These families are distinguished by the (arbitrarily large) numbers of families of Maslov index 2 pseudo-holomorphic discs that they bound.

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Denis Auroux. 2014-10-28. Infinitely many monotone Lagrangian tori in $\mathbb{R}^6$. https://doi.org/10.1007/s00222-014-0561-9

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