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Infinitely many monotone Lagrangian tori in R6

Abstract

© 2014, Springer-Verlag Berlin Heidelberg. We construct infinitely many families of monotone Lagrangian tori in R6, 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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