Infinitely many exotic monotone Lagrangian tori in CP^2
Symplectic Geometry
2016-04-07 v4
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.
Keywords
Cite
@article{arxiv.1409.2850,
title = {Infinitely many exotic monotone Lagrangian tori in CP^2},
author = {Renato Vianna},
journal= {arXiv preprint arXiv:1409.2850},
year = {2016}
}
Comments
25 pages, 8 figures