Thearticleisdevoted toaquantumeld theoryexplanation oftherelationship between theVerlindealgebra ofthegroup U(k)atlevel N k and the\quantum cohom ology oftheGrassm annian ofcom plex k planesin N space.In x2,Iexplain therelation between theVerlindealgebra and thegauged W ZW m odelof G=G;in x3,Idescribe the quantum cohom ology and itsorigin in a quantumeld theory; and in x4,Ipresenta path integralargum entform apping between them .
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