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

References in corpus (2)

• Gromov--Witten invariants for mirror orbifolds of simple elliptic singularities
• Gromov-Witten theory of orbicurves, the space of tri-polynomials and Symplectic Field Theory of Seifert fibrations

Cited by in corpus (7)

• Primitive forms via polyvector fields
• A note on entropy of auto-equivalences: lower bound and the case of orbifold projective lines
• Gromov--Witten theory of Fano orbifold curves, Gamma integral structures and ADE-Toda Hierarchies
• Localized mirror functor for Lagrangian immersions, and homological mirror symmetry for P^1_{a,b,c}
• On the Frobenius Manifolds for Cusp Singularities
• From primitive form to mirror symmetry
• On Weyl Groups and Artin Groups Associated to Orbifold Projective Lines