Introduction to τ-tilting theory

Proc Natl Acad Sci U S A. 2014 Jul 8;111(27):9704-11. doi: 10.1073/pnas.1313075111. Epub 2014 Jun 30.

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 introduction to τ-tilting theory which was recently developed.