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

Introduction to τ-tilting theory.

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Graduate School of Mathematics, Nagoya University, Nagoya 464-8602, Japan; and.
Department of Mathematical Sciences, Norwegian University of Science and Technology, 7491 Trondheim, Norway


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.

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