Infinitely many exotic monotone Lagrangian tori in CP2
Abstract
Related to each degeneration from CP2 to CP(a2,b2,c2), for (a,b,c) a Markov triple - positive integers satisfying a2 + b2 + c2 = 3abc - there is a monotone Lagrangian torus, which we call T(a2,b2,c2). We employ techniques from symplectic field theory to prove that no two of them are Hamiltonian isotopic to each other.
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