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arXiv · 1409.2850

Infinitely many exotic monotone Lagrangian tori in CP^2

Renato Vianna
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Abstract

Related to each degeneration from CP^2 to CP(a^2,b^2,c^2), for (a,b,c) a Markov triple - positive integers satisfying a^2 + b^2 + c^2 = 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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Renato Vianna. 2014-09-09. Infinitely many exotic monotone Lagrangian tori in CP^2. https://doi.org/10.1112/jtopol%2Fjtw002

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