Departmental Bulletin Paper COMMENSURABILITY OF LINK COMPLEMENTS

Yoshida, Han

54 ( 4 )  , pp.635 - 645 , 2017-10 , Osaka University and Osaka City University, Departments of Mathematics
ISSN:00306126
NCID:AA00765910
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Dedicated to Prof. Taizo Kanenobu, Makoto Sakuma, Yasutaka Nakanishi on their 60-th birthday
In 2013, Chesebro and DeBlois constructed a certain family of hyperbolic links whose complements have the same volume, trace field, Bloch invariant, and cusp parameters up to PGL(2,ℚ). In this paper, we show that these link complements are incommensurable to each other. We use horoball packing to prove this.
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