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Self-duality for Landau-Ginzburg models. (English) Zbl 1328.35226

Summary: P. Clarke describes mirror symmetry as a duality between Landau-Ginzburg models, so that the dual of an LG model is another LG model. We describe examples in which the underlying space is a total space of a vector bundle on the projective line, and we show that self-duality occurs in precisely two cases: the cotangent bundle and the resolved conifold.

MSC:

35Q56 Ginzburg-Landau equations
53D40 Symplectic aspects of Floer homology and cohomology
14J32 Calabi-Yau manifolds (algebro-geometric aspects)
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