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

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.

14 pages; v2: added some references and comments to motivate the construction

References in corpus (1)

• Mirror symmetry and T-duality in the complement of an anticanonical divisor

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