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A characterization of alternating link exteriors in terms of cubed complexes

2018/04/10 by Shunsuke Sakai, Sakai, Shunsuke
Mathematics · #57M20 #57M25 #Advanced Operator Algebra Research #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.GT #msc:57M20 #msc:57M25

paper · pdf · doi:10.48550/arxiv.1804.03473

7 pages, 5 figures

arxiv created 2018/04/10 · openalex publication_date 2018/04/10 · arxiv updated 2018/04/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a characterization of alternating link exteriors in terms of cubed complexes. To this end, we introduce the concept of a "signed BW cubed-complex", and give a characterization for a signed BW cubed-complex to have the underlying space which is homeomorphic to an alternating link exterior.

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