activity
20202025
collaborators

5 papers

math.RT2025

Stability Conditions and Algebraic Hearts for Acyclic Quivers

Takumi Otani, Dongjian Wu

We study stability conditions on the derived category of a finite connected acyclic quiver. We prove that, for any stability condition on the derived category, its heart can be obt…

math.RT2024

Twist automorphism for a generalized root system of affine ADE type

Takumi Otani

For a generalized root system of affine ADE type, we introduce a twist automorphism. We prove that the Dubrovin-Zhang extended affine Weyl group is isomorphic to our (modified) ext…

math.RT2022

Full exceptional collections and stability conditions for Dynkin quivers

Takumi Otani

For a stability condition on a triangulated category, Dimitrov-Katzarkov introduced the notion of a -exceptional collection. In this paper, we study full -exceptional col…

math.AG2021

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…

math.AG2020

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…