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A COMPARISON OF CATEGORICAL AND TOPOLOGICAL ENTROPIES ON WEINSTEIN MANIFOLDS
- Part of
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- Journal:
- Nagoya Mathematical Journal , First View
- Published online by Cambridge University Press:
- 17 February 2025, pp. 1-30
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- Article
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Let W be a symplectic manifold, and let
$\phi :W \to W$ be a symplectic automorphism. This automorphism induces an auto-equivalence 
$\Phi $ defined on the Fukaya category of W. In this paper, we prove that the categorical entropy of 
$\Phi $ provides a lower bound for the topological entropy of 
$\phi $, where W is a Weinstein manifold and 
$\phi $ is compactly supported. Furthermore, motivated by [cCGG24], we propose a conjecture that generalizes the result of [New88, Prz80, Yom87].
