Hyperbolic Alternating Virtual Link Groups
نویسنده
چکیده
We study the topology and geometry of virtual link complements and groups. We show that the groups defined by the Wirtinger presentation of certain prime dense alternating virtual links are CAT(0) and hyperbolic. MSC: 57M05, 57M50, 20F65, 20F67.
منابع مشابه
Constructing Subdivision Rules from Alternating Links
The study of geometric group theory has suggested several theorems related to subdivision tilings that have a natural hyperbolic structure. However, few examples exist. We construct subdivision tilings for the complement of every nonsingular, prime alternating link. These tilings define a combinatorial space at infinity, similar to the space at infinity for word hyperbolic groups.
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