On the Frobenius manifolds for cusp singularities |
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| Authors: | Atsushi Takahashi Yuuki Shiraishi |
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| Institution: | Department of Mathematics, Graduate School of Science, Osaka University, Toyonaka, Osaka, 560-0043, Japan |
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| Abstract: | We show that the Frobenius manifold associated to the pair of a cusp singularity and its canonical primitive form is isomorphic to the one constructed from the Gromov–Witten theory for an orbifold projective line with at most three orbifold points. We also calculate the intersection form of the Frobenius manifold. |
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| Keywords: | Primitive form Cusp singularity Orbifold projective line Frobenius manifold Mirror symmetry |
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