The realization of Verdier quotients as triangulated subfactors
Zhi-Wei Li
TL;DR
This paper presents a method to realize Verdier quotients as triangulated subfactors within any triangulated category, and demonstrates that Iyama-Yoshino subfactors are specific cases of Verdier quotients under certain conditions.
Contribution
It introduces a general approach to realize Verdier quotients as triangulated subfactors and connects Iyama-Yoshino subfactors to Verdier quotients.
Findings
Verdier quotients can be realized as triangulated subfactors.
Iyama-Yoshino subfactors are Verdier quotients under certain conditions.
Provides a unifying framework for subfactor realization in triangulated categories.
Abstract
We give a method to realize Verdier quotients as triangulated subfactors of an arbitrary triangulated category. We show that Iyama-Yoshino triangulated subfactors are Verdier quotients under suitable conditions.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology