Browsing OSU - Faculty and Staff Publications by Subject "57M10: Covering spaces and low-dimensional topology"
Now showing items 1-4 of 4
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Commensurability classes containing three knot complements
(2009-05-11)This paper exhibits an infinite family of hyperbolic knot complements that have three knot complements in their respective commensurability classes. -
Cusp types of quotients of hyperbolic knot complements
(2020-01-14)This paper completes a classification of the types of orientable and non-orientable cusps that can arise in the quotients of hyperbolic knot complements. In particular, S2(2,4,4) cannot be the cusp cross-section of any ... -
On knot complements that decompose into regular ideal dodecahedra
(2012-09-05)Aitchison and Rubinstein constructed two knot complements that can be decomposed into two regular ideal dodecahedra. This paper shows that these knot complements are the only knot complements that decompose into n regular ... -
Small knot complements, exceptional surgeries, and hidden symmetries
(2011-10-17)This paper provides two obstructions to small knot complements in S3 admitting hidden symmetries. The first obstruction is being cyclically commensurable with another knot complement. This result provides a partial answer ...