Shengfei Geng

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20242026

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6 papers · 1 filter

math.RT2026

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 SimÃµes. Fai…

math.RT2026

On $I ¨ $ -tilting graphs for quasi-silted algebras

Wei Dai, Changjian Fu, Shengfei Geng +1

We prove that the $I ¨ $ -tilting graph of any quasi-silted algebra is connected and has the reachable-in-face property. Our approach utilizes $I ¨ $ -reduction and wall and chamber stru…

math.RT2025

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…

math.RT2025

Functor-induced isomorphisms and $G$ -matrices

Shengfei Geng

In this paper, we explore how functor-induced isomorphisms are encoded by $G$ -matrices. We first show that the Grothendieck group isomorphism induced by a tilting module can be rea…

math.RT2024

On denominator conjecture for cluster algebras of finite type

Changjian Fu, Shengfei Geng

We continue our investigation on denominator conjecture of Fomin and Zelevinsky for cluster algebras via geometric models initialed in \cite{FG22}. In this paper, we confirm the de…

math.RT2024

Denominator conjecture for some surface cluster algebras