12 citations · 12 across the 4 of their papers we have counts for
5 papers · 1 filter
Tilting mutation of gentle algebras and its combinatorial description
Difan Deng, Shengfei Geng, Pin Liu
Tilting mutation provides a natural way to construct derived-equivalent algebras by replacing an indecomposable summand of a tilting object. Holm, Schröer and Zimmermann~\cite{HSZ0…
Geometric models for endomorphism algebras of tilting modules over gentle algebras
Difan Deng, Shengfei Geng, Pin Liu
This paper investigates tilting modules over gentle algebras and their endomorphism algebras within the framework of marked surfaces and tilings introduced by Baur and Simões. Fait…
Intersection vectors over skew-tilings
Difan Deng, Shengfei Geng, Pin Liu
We prove that under a mild condition, a multiset of tagged permissible arcs over a skew-tiling is uniquely determined by its intersection vector. As an application, it is proved th…
On -tilting graphs for quasi-silted algebras
Wei Dai, Changjian Fu, Shengfei Geng +1
We prove that the -tilting graph of any quasi-silted algebra is connected and has the reachable-in-face property. Our approach utilizes -reduction and wall and chamber struct…
On support -tilting graphs of gentle algebras
Changjian Fu, Shengfei Geng, Pin Liu +1
Let be a finite-dimensional gentle algebra over an algebraically closed field. We investigate the combinatorial properties of support -tilting graph of . In particular, i…