Gromov-Witten invariants of the two-sphere and mirror symmetry

Paul Norbury
Melbourne University


I will describe the well-studied problem of the Gromov-Witten invariants of the two-sphere. The Gromov-Witten invariants can be calculated via a rigorous notion of mirror symmetry using Frobenius manifolds. New insight into this problem comes from recent ideas of Eynard and Orantin who have developed a tool in complex analysis for studying enumerative problems in geometry.

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