75 citations · 342 across the 34 of their papers we have counts for
36 papers
The number of full exceptional collections modulo spherical twists for extended Dynkin quivers
Takumi Otani, Yuuki Shiraishi, Atsushi Takahashi
This paper calculates the number of full exceptional collections modulo an action of a free abelian group of rank one for an abelian category of coherent sheaves on an orbifold pro…
Strange duality between the quadrangle complete intersection singularities
Wolfgang Ebeling, Atsushi Takahashi
There is a strange duality between the quadrangle isolated complete intersection singularities discovered by the first author and C.T.C.Wall. We derive this duality from the mirror…
Gamma integral structure for an invertible polynomial of chain type
Takumi Otani, Atsushi Takahashi
The notion of the Gamma integral structure for the quantum cohomology of an algebraic variety was introduced by Iritani, Katzarkov-Kontsevich-Pantev. In this paper, we define the G…
Graded matrix factorizations of size two and reduction
Wolfgang Ebeling, Atsushi Takahashi
We associate a complete intersection singularity to a graded matrix factorization of size two of a polynomial in three variables. We show that we get an inverse to the reduction of…
Mirror symmetry for a cusp polynomial Landau-Ginzburg orbifold
Alexey Basalaev, Atsushi Takahashi
For any triple of positive integers and , cusp polynomial is known to be mir…
A Frobenius manifold for -Kronecker quiver
Akishi Ikeda, Takumi Otani, Yuuki Shiraishi +1
We construct a Frobenius structure whose intersection form coincides with the generalized Cartan matrix of the -Kronecker quiver and underlying complex manifold is…