2 citations · 2 across the 7 of their papers we have counts for
7 papers
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…
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…
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…
Global dimension of the derived category of an orbifold projective line
Takumi Otani
The global dimension of a triangulated category is defined to be the infimum value of the global dimensions of stability conditions on the triangulated category. In this paper, we…
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…
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…
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…