Symmetry of links and classification of lens spaces

2000/11/17 by Józef H. Przytycki, Jozef H. Przytycki, Przytycki, Jozef H. +2 · 1 citation
Biochemistry, Genetics and Molecular Biology · Mathematics · #57M27 (Primary) 57M25 (Secondary) #Connective tissue disorders research #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.GT #msc:57M25 #msc:57M27

paper · pdf · doi:10.48550/arxiv.math/0011119

LaTeX, 4 pages with 1 figure

arxiv created 2000/11/17 · openalex publication_date 2000/11/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a concise proof of a classification of lens spaces up to orientation-preserving homeomorphisms. The chief ingredient in our proof is a study of the Alexander polynomial of ` symmetric' links in S³.

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