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.
IntroductionRecently, Greene [5] and Howie [8], independently, established intrinsic characterizations of alternating links in terms of a pair of spanning surfaces, answering an old question of R. H. Fox. These result… Show more
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