Takumi Otani

activity

20202025

most citedThe number of full exceptional collections modulo spherical twists for extended Dynkin quivers

2 citations · 2 across the 7 of their papers we have counts for

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