75 citations · 342 across the 34 of their papers we have counts for
Showing 2013 · math.AGShow all
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math.AG2013★ 3 cited
On the Frobenius Manifolds for Cusp Singularities
Yuuki Shiraishi, Atsushi Takahashi
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 theo…
math.AG2013
A geometric definition of Gabrielov numbers
Wolfgang Ebeling, Atsushi Takahashi
Gabrielov numbers describe certain Coxeter-Dynkin diagrams of the 14 exceptional unimodal singularities and play a role in Arnold's strange duality. In a previous paper, the author…
math.AG2013★ 5 cited
Stokes Matrices for the Quantum Cohomologies of Orbifold Projective Lines
Kohei Iwaki, Atsushi Takahashi
We prove the Dubrovin's conjecture for the Stokes matrices for the quantum cohomology of orbifold projective lines. The conjecture states that the Stokes matrix of the first struct…