3 citations · 3 across the 5 of their papers we have counts for
5 papers
Pseudo-torsion classes
Kiyoshi Igusa, Ray Maresca
For a finite dimensional algebra , we consider a torsion class in -, which is not necessarily functorially finite. We construct a wall-and-chamber structure for …
Legendrian and Lagrangian higher torsion
Daniel Alvarez Gavela, Kiyoshi Igusa, Michael Sullivan
Let be a closed manifold. We introduce a family of Legendrian isotopy invariants for Legendrians in , which we collectively call Legendrian higher torsion. Given a choice…
Bijection between positive clusters and projectively signed exceptional sequences
Shujian Chen, Kiyoshi Igusa
In 2017, Igusa and Todorov gave a bijection between signed exceptional sequences and ordered partial clusters. In this paper, we show that every term in an exceptional sequence is…
Generalized Goulden-Yong duals and signed minimal factorizations
Shujian Chen, Kiyoshi Igusa
In this paper, we give two combinatorial ways to study signed exceptional sequences. First, we show the equivalence between one-way reflections and relatively projective representa…
Derived delooping levels and finitistic dimension
Ruoyu Guo, Kiyoshi Igusa
In this paper, we develop new ideas regarding the finitistic dimension conjecture, or the findim conjecture for short. Specifically, we improve upon the delooping level by introduc…