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arXiv 2014-09-09 DOI 10.1112/jtopol/jtw002 2 views

Infinitely many exotic monotone Lagrangian tori in CP²

Vianna, Renato

Original · EN

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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