English

On the Frobenius Manifolds for Cusp Singularities

Algebraic Geometry 2013-08-02 v1

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.

Keywords

Cite

@article{arxiv.1308.0105,
  title  = {On the Frobenius Manifolds for Cusp Singularities},
  author = {Yuuki Shiraishi and Atsushi Takahashi},
  journal= {arXiv preprint arXiv:1308.0105},
  year   = {2013}
}

Comments

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

R2 v1 2026-06-22T01:02:00.519Z