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Primitive forms for affine cusp polynomials

Authors: Ishibashi, Yoshihisa; Shiraishi, Yuuki; Takahashi, Atsushi;

Primitive forms for affine cusp polynomials

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.

57 pages

Keywords

14J33, affine cusp polynomial, orbifold projective line, FOS: Physical sciences, mirror symmetry, Mathematical Physics (math-ph), Mathematics - Algebraic Geometry, Mirror symmetry (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Frobenius manifolds, Gromov-Witten theory, FOS: Mathematics, Frobenius manifold, Algebraic Geometry (math.AG), Gromov–Witten theory, primitive form, Mathematical Physics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
Green
bronze