Tohoku Mathematical Journal
2019
September
SECOND SERIES VOL. 71, NO. 3

Tohoku Math. J.
71 (2019), 437-464

Title PRIMITIVE FORMS FOR AFFINE CUSP POLYNOMIALS

Author Yoshihisa Ishibashi, Yuuki Shiraishi and Atsushi Takahashi

(Received December 8, 2016)
Abstract. We determine a primitive form for a universal unfolding of an affine cusp polynomial. Moreover, we prove that the resulting Frobenius manifold is isomorphic to the one constructed from the Gromov--Witten theory for an orbifold projective line with at most three orbifold points.

Mathematics Subject Classification. Primary 14J33.
Key words and phrases. Mirror symmetry, affine cusp polynomial, primitive form, orbifold projective line, Gromov--Witten theory, Frobenius manifold.

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