Dynamical systems and categories
作者： Fabian Haiden , Ludmil Katzarkov , Maxim Kontsevich , George Dimitrov
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摘要: We study questions motivated by results in the classical theory of dynamical systems context triangulated and A-infinity categories. First, entropy is defined for exact endofunctors computed a variety examples. In particular, pseudo-Anosov map recovered from induced functor on Fukaya category. Second, density set phases Bridgeland stability condition studied complete answer given case bounded derived categories quivers. Certain exceptional pairs categories, which we call Kronecker pairs, are used to construct conditions with phases. Some open further directions outlined as well.
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