Brian Forbes, Masao Jinzenji
Published 2005-03-11, updated 2005-03-25Version 3
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.
Comments: 47 pages, 7 figures. Minor errors corrected, including the correction of the triple intersection numbers for the del Pezzo surface
Journal: J.Math.Phys. 46 (2005) 082302
Non-perturbative Gauge Groups and Local Mirror Symmetry
Prepotentials for local mirror symmetry via Calabi-Yau fourfolds
Central charges, symplectic forms, and hypergeometric series in local mirror symmetry
