Extending the Picard-Fuchs system of local mirror symmetry
Abstract
We propose an extended set of differential operators for local mirror symmetry. If X is Calabi-Yau such that H4(X,)=0, then we show that our operators fully describe mirror symmetry. In the process, a conjecture for intersection theory for such X is uncovered. We also find new operators on several examples of type X=KS through similar techniques. In addition, open string PF systems are considered.
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