3 papers
math.AT2024
Bipath Persistence
Toshitaka Aoki, Emerson G. Escolar, Shunsuke Tada
In persistent homology analysis, interval modules play a central role in describing the birth and death of topological features across a filtration. In this work, we extend this se…
math.RT2024
Mutation of Brauer configuration algebras
Toshitaka Aoki, Yingying Zhang
For Brauer graph algebras, tilting mutation is compatible with flip of Brauer graphs. The aim of this paper is to generalize this result to the class of Brauer configuration algebr…
math.RT2023
Summand-injectivity of interval covers and monotonicity of interval resolution global dimensions
Toshitaka Aoki, Emerson G. Escolar, Shunsuke Tada
Recently, there is growing interest in the use of relative homology algebra to develop invariants using interval covers and interval resolutions (i.e., right minimal approximations…