A COMPARISON OF CATEGORICAL AND TOPOLOGICAL ENTROPIES ON WEINSTEIN MANIFOLDS

作     者：Bae, Hanwool Lee, Sangjin 

作者机构：Center for Quantum Structures In Modules and Spaces Seoul National University Seoul Korea Republic of  Pohang37673 Korea Republic of 

出 版 物：《arXiv》 (arXiv)

年 卷 期：2022年

核心收录：

主　　题：Topology 

摘      要：Let W be a symplectic manifold, and let φ : W → W be a symplectic automorphism. This automorphism induces an auto-equivalence Φ defined on the Fukaya category of W . In this paper, we prove that the categorical entropy of Φ provides a lower bound for the topological entropy of φ, where W is a Weinstein manifold and φ is compactly supported. Furthermore, motivated by [cCGG24], we propose a conjecture that generalizes the result of [New88, Prz80, Yom87].MSC Codes 53D37, 53D40, 37J11 Copyright © 2022, The Authors. All rights reserved.