From categories to Gromov-Witten invariants

Abstract: Kontsevich suggested that enumerative predictions of Mirror Symmetry should follow directly from Homological Mirror Symmetry. This requires a natural construction of analogues of Gromov-Witten invariants associated to any A-infinity Calabi-Yau category, with some extra choices. I will explain what these choices are and survey two approaches to this construction, one in genus zero and another (conjectural) in all genera.

algebraic geometrydifferential geometrysymplectic geometry

Audience: researchers in the topic

Geometria em Lisboa (IST)

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