32 citations · 51 across the 11 of their papers we have counts for
12 papers
Frobenius manifold for the nodal quiver
Atsuki Nakago, Yuuki Shiraishi, Atsushi Takahashi
Starting from the Weierstrass elliptic function, we study the associated Frobenius structure, incorporating the perspective of derived categories, particularly that of homological…
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…
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…
Almost duality for Saito structure and complex reflection groups II: the case of Coxeter and Shephard groups
Yukiko Konishi, Satoshi Minabe
It is known that the orbit spaces of the finite Coxeter groups and the Shephard groups admit two types of Saito structures without metric. One is the underlying structures of the F…
A note on entropy of auto-equivalences: lower bound and the case of orbifold projective lines
Kohei Kikuta, Yuuki Shiraishi, Atsushi Takahashi
Entropy of categorical dynamics is defined by Dmitrov-Haiden-Katzarkov-Kontsevich. Motivated by the fundamental theorem of the topological entropy due to Gromov-Yomdin, it is natur…
Almost duality for Saito structure and complex reflection groups
Yukiko Konishi, Satoshi Minabe, Yuuki Shiraishi
We reformulate Dubrovin's almost duality of Frobenius structures to Saito structures without metric. Then we formulate and study the existence and uniqueness problem of the natural…