Introduction to $\tau$-tilting theory

Abstract

From the viewpoint of mutation, we will give a brief survey of tilting theory and cluster-tilting theory together with a motivation from cluster algebras. Then we will give an introdution to τ-tilting theory which was recently developed in [AIR].

8 pages. To appear in Proc. Natl. Acad. Sci. USA

References in corpus (2)

• On triangulated orbit categories
• On the combinatorics of rigid objects in 2-Calabi-Yau categories

Cited by in corpus (7)

• Classifying tilting complexes over preprojective algebras of Dynkin type
• Silting objects
• Rigid modules and Schur roots
• Two-term tilting complexes for preprojective algebras of non-Dynkin type
• A bijection between the indecomposable summands of two multiplicity free tilting modules
• Simplicial complexes and tilting theory for Brauer tree algebras
• On mutation of τ-tilting modules