QUANTUM RING OF SINGULARITY Xp + XYq
نویسندگان
چکیده
In this paper, we will prove that the quantum ring of the quasi-homogeneous polynomial X p + XYq(p ≥ 2, q > 1) with some admissible symmetry group G defined by Fan-Jarvis-Ruan-Witten theory is isomorphic to the Milnor ring of its mirror dual polynomial X pY + Yq. We will construct an concrete isomorphism between them. The construction is a little bit different in case (p − 1, q) = 1 and case (p − 1, q) = d > 1. Some other problems including the correspondence between the pairings of both Frobenius algebras has also been discussed.
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