Singularity Confinement and Projective Resolution of Triangulated Category
Mathematical Physics
2018-11-07 v1 High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
Abstract
We proposed, in our previous paper, to characterize the Hirota-Miwa equation by means of the theory of triangulated category. We extend our argument in this paper to support the idea. In particular we show in detail how the singularity confinement, a phenomenon which was proposed to characterize integrable maps, can be associated with the projective resolution of the triangulated category.
Cite
@article{arxiv.1310.1358,
title = {Singularity Confinement and Projective Resolution of Triangulated Category},
author = {Satoru Saito and Tsukasa Yumibayashi and Yuki Wakimoto},
journal= {arXiv preprint arXiv:1310.1358},
year = {2018}
}
Comments
27 pages, 11 figures