On the Frobenius Manifolds for Cusp Singularities

Abstract

We show that the Frobenius manifold associated to the pair of a cusp singularity and it's 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.

34pages. arXiv admin note: substantial text overlap with arXiv:1211.1128

References in corpus (1)

• Primitive Forms for Affine Cusp Polynomials

Cited by in corpus (2)

• On Frobenius Manifolds from Gromov--Witten Theory of Orbifold Projective Lines with $r$ orbifold points
• On Weyl Groups and Artin Groups Associated to Orbifold Projective Lines