论文标题
PFH光谱不变的基本替代品
An elementary alternative to PFH spectral invariants
论文作者
论文摘要
受Hutchings的ECH能力替代基本替代方案的启发，我们引入了通过定期浮子同源性（PFH）定义的光谱不变性的基本替代方案。我们使用这些光谱不变性来提供更多的基本证据，以证明最近使用PFH光谱不变的结果获得了许多结果。这些结果包括用于区域保护表面差异和简单性猜想的定量闭合引理。
Inspired by Hutchings' elementary alternative to ECH capacities, we introduce an elementary alternative to spectral invariants defined via periodic Floer homology (PFH). We use these spectral invariants to provide more elementary proofs of a number of results which have recently been obtained using PFH spectral invariants. Among these results are quantitative closing lemmas for area-preserving surface diffeomorphisms and the simplicity conjecture.
