47 citations · 323 across the 60 of their papers we have counts for
45 papers · 1 filter
Balanced notation for -rigid pairs
Kiyoshi Igusa, Gordana Todorov
We introduce a new notation for -rigid pairs called ``balanced pairs''. The notation allows for simplification of some formulas, for example the Jasso category and it…
Short history of signed exceptional sequences
Kiyoshi Igusa, Gordana Todorov
Whereas exceptional sequences have a long history with many well-known connections to combinatorics, signed exceptional sequences are relatively recent. The authors introduced this…
More ghost modules I
Kiyoshi Igusa
Ghost modules were introduced in [I3] without definitions or proofs. We also introduced stability diagrams or "relative pictures" for torsion classes and torsion-free classes for r…
Enumerating m-clusters using exceptional sequences
Kiyoshi Igusa
We give a bijection between ordered -clusters and (complete) -exceptional sequences, a concept that we introduce for this purpose. This holds for all hereditary artin algebra…
Continuous Stability Conditions of Type A and Measured Laminations of the Hyperbolic Plane
Kiyoshi Igusa, Job Daisie Rock
We introduce stability conditions (in the sense of King) for representable modules of continuous quivers of type A along with a special criteria called the four point condition. Th…
On Clusters and Exceptional Sets in Types and
Kiyoshi Igusa, Ray Maresca
In this paper we first study clusters in type by collecting them into a finite number of infinite families given by Dehn twists of their corresponding triangul…