On Exotic Lagrangian Tori in CP^2

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.

62 pages

References in corpus (3)

• Mirror symmetry and T-duality in the complement of an anticanonical divisor
• Quantum Structures for Lagrangian Submanifolds
• Lagrangian Topology and Enumerative Geometry

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