Similar to knots in S^3, any knot in a lens space has a grid diagram fromwhich one can combinatorially compute all of its knot Floer homologyinvariants. We give an explicit description of the generators, differentials,and rational Maslov and Alexander gradings in terms of combinatorial data onthe grid diagram. Motivated by existing results for the Floer homology of knotsin S^3 and the similarity of the combinatorics presented here, we conjecturethat a certain family of knots is characterized by their Floer homology.Coupled with work of the third author, an affirmative answer to this wouldprove the Berge conjecture, which catalogs the knots in S^3 admitting lensspace surgeries.
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