Infinitely many exotic monotone Lagrangian tori in CP^2

Published 9 Sep 2014 in math.SG | (1409.2850v4)

Abstract: Related to each degeneration from CP² to CP(a^{2,b^{2,c^2),}} for (a,b,c) a Markov triple - positive integers satisfying a² + b² + c² = 3abc - there is a monotone Lagrangian torus, which we call T(a^{2,b^{2,c^2).}} We employ techniques from symplectic field theory to prove that no two of them are Hamiltonian isotopic to each other.

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Authors (1)

Renato Vianna

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