Categorical dynamical systems arising from sign-stable mutation loops
We give an autoequivalence of the derived category of the Ginzburg dg algebra for a mutation loop satisfying the sign stability introduced in [IK21]. We compute the categorical entropies of their restrictions to some subcategories and conclude that they are both given by the logarithm of the cluster...
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Zusammenfassung: | We give an autoequivalence of the derived category of the Ginzburg dg algebra
for a mutation loop satisfying the sign stability introduced in [IK21]. We
compute the categorical entropies of their restrictions to some subcategories
and conclude that they are both given by the logarithm of the cluster stretch
factor. Moreover, we discuss the pseudo-Anosovness of them in the sense of
[FFHKL19] and [DHKK14]. |
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DOI: | 10.48550/arxiv.2105.08332 |