This is a web page of Shunsuke Kano (狩野 隼輔).

I am an Assistant Professor of Research Alliance Center for Mathematical Sciences, Tohoku University.

E-mail: s.kano(at)tohoku(dot)

Research Interests: cluster algebras, triangulated categories

Key words: categorical dynamical system, mutation loop, quiver representation, mapping class group, Teichmüller space, pseudo-Anosov mapping class, train track, ...

Sign stability is a property of mutation loops, which is a generalization of pseudo-Anosov property for mapping classes. Actually, the mapping class is (generic) pseudo-Anosov iff it is (uniformly) sign-stable (arXiv:2010.05214). A sign-stable mutation loop has a numerical invariant cluster stretch factor. For a sign-stable mutation loop, the logarithm of its cluster stretch factor coincide with an algebraic entropy of the induced birational maps on cluster A- and X- varieties (arXiv:1911.07587) and categorical entropy of induced autoequivalence of some 3d Calabi-Yau category (arXiv:2105.08332).