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Homological mirror symmetry leads to the solution of the knot categorification problem. It provides a categorification of quantum link invariants, which works uniformy with respect to the choice of a Lie algebra, and originates from geometry and physics. The symplectic side of mirror symmetry is a theory which generalizes Heegard-Floer theory. The theory has many special features, which render it solvable explicitly. In this talk, I will describe in some detail how the theory is solved.

Homological Link Invariants from Mirror Symmetry: Computations 5.25 MB application/pdf