A comparison of categorical and topological entropies on Weinstein manifolds
| Autor: | Bae, Hanwool, Lee, Sangjin |
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| Rok vydání: | 2022 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | Let $W$ be a symplectic manifold, and let $\phi:W \to W$ be a symplectic automorphism. Then, $\phi$ induces an auto-equivalence $\Phi$ defined on the Fukaya category of $W$. In this paper, we prove that the categorical entropy of $\Phi$ bounds the topological entropy of $\phi$ from below where $W$ is a Weinstein manifold and $\phi$ is compactly supported. Moreover, being motivated by the work of Cineli, Ginzburg, and Gurel, we propose a conjecture which generalizes a result in dynamical system. Comment: 21 pages, 1 figure |
| Databáze: | arXiv |
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