On exotic Lagrangian tori in ℂℙ2

Abstract

We construct an exotic monotone Lagrangian torus in ℂℙ2 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.