On the fundamental groups of solenoid complements in \mathbbS³

2023/03/02 by Xueming Hui, Hui, Xueming
Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2303.01442

openalex publication_date 2023/03/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that fundamental groups of the complements of knotted solenoids in \mathbbS³ is solely determined by a canonical sequence of knot groups. Moreover it its determined by the embedding up to mirror reflection.

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