13 citations · 49 across the 11 of their papers we have counts for
11 papers
A note on SG points for reduced plane curves
Aki Ikeda, Takeshi Takahashi
In our previous work, we generalized the concept of Galois points for irreducible plane curves to the case of reduced plane curves. We also introduced the concept of simultaneous G…
Simultaneous Galois points for a reducible plane curve consisting of nonsingular components
Aki Ikeda, Takeshi Takahashi
Yoshihara's definition of Galois points for irreducible plane curves is extended to reducible plane curves. We also define simultaneous Galois points, weakening the conditions of t…
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…
Graded decorated marked surfaces: Calabi-Yau- categories of gentle algebras
Akishi Ikeda, Yu Qiu, Yu Zhou
Let be a graded marked surface. We construct a string model for Calabi-Yau- category , via the graded DM…
Irregular vertex algebras
Akishi Ikeda, Yota Shamoto
We introduce the notion of irregular vertex (operator) algebras. The irregular versions of fundamental properties, such as Goddard uniqueness theorem, associativity and operator pr…
-Stability conditions via -quadratic differentials for Calabi-Yau- categories
Akishi Ikeda, Yu Qiu
Categorically, we introduce the Calabi-Yau- categories of a graded marked surface , as a -deformation of the topological Fuk…
q-Stability conditions on Calabi-Yau-X categories
Akishi Ikeda, Yu Qiu
We introduce -stability conditions on Calabi-Yau- categories , where is a stability condition on and …
Homological and monodromy representations of framed braid groups
Akishi Ikeda
In this paper, we introduce two new classes of representations of the framed braid groups. One is the homological representation constructed as the action of a mapping class group…
Mass growth of objects and categorical entropy
Akishi Ikeda
In the pioneer work by Dimitrov-Haiden-Katzarkov-Kontsevich, they introduced various categorical analogies from classical theory of dynamical systems. In particular, they defined t…
Stability conditions on categories associated to -quivers and period maps
Akishi Ikeda
In this paper, we study the space of stability conditions on a certain -Calabi-Yau () category associated to an -quiver. Recently, Bridgeland and Smith constru…
Stability conditions for preprojective algebras and root systems of Kac-Moody Lie algebras
Akishi Ikeda
The aim of this paper is to study the space of stability conditions on the bounded derived category of nilpotent modules over the preprojective algebra associated with a quiver wit…