#### Volume 18, issue 4 (2014)

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On exotic Lagrangian tori in $\mathbb{CP}^2$

### Renato Vianna

Geometry & Topology 18 (2014) 2419–2476
##### Abstract

We construct an exotic monotone Lagrangian torus in ${ℂℙ}^{2}$ using techniques motivated by mirror symmetry. We show that it bounds $10$ families of Maslov index $2$ holomorphic discs, and it follows that this exotic torus is not Hamiltonian isotopic to the known Clifford and Chekanov tori.

##### Keywords
exotic Lagrangian, Clifford, Chekanov, torus, tori
##### Mathematical Subject Classification 2010
Primary: 53D12
Secondary: 53D37, 53D40