Quivers for silting mutation

TL;DR

This paper introduces a combinatorial mutation rule for silting mutation, providing a new perspective and tools for understanding mutations in algebraic structures, with applications to Ginzburg algebras.

Contribution

It presents a novel combinatorial mutation rule for silting mutation and extends Keller-Yang's mutation rule to arbitrary dimensions.

Findings

Reproved Keller-Yang's mutation rule for Ginzburg algebras

Developed a combinatorial mutation rule for silting mutation

Extended mutation rules to higher dimensions

Abstract

We give a combinatorial mutation rule for Aihara's and Iyama's silting mutation. As an application, we reprove Keller-Yang's mutation rule for Ginzburg algebras, and obtain an analog of that rule for arbitrary dimension.