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arxiv: 1804.03473 · v1 · pith:JMXTU42Fnew · submitted 2018-04-10 · 🧮 math.GT

A characterization of alternating link exteriors in terms of cubed complexes

classification 🧮 math.GT
keywords alternatingcharacterizationlinkcomplexescubedcubed-complexexteriorsgive
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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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