Dept. Math, Hokkaido Univ. EPrints Server

Extending the Picard-Fuchs system of local mirror symmetry

Preprint Series # 712
Forbes, Brian and Jinzenji, Masao Extending the Picard-Fuchs system of local mirror symmetry. (2005);

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We propose an extended set of differential operators for local mirror symmetry. If $X$ is Calabi-Yau such that $\dim H_4(X,\Z)=0$, 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 $X=K_S$ through similar techniques. In addition, open string PF systems are considered.

Item Type:Preprint
Additional Information:20
Uncontrolled Keywords:local mirror symmetry
ID Code:897