Browsing by Subject "57M25: Knots and links in $S^3$"

Now showing items 1-7 of 7

    • Big Dehn surgery graph and the link of s^3 

      Hoffman, Neil R.; Walsh, Genevieve S. (2013-11-15)

    • Commensurability classes containing three knot complements 

      Hoffman, Neil (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 

      Hoffman, Neil R. (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 ...

    • Jointly primitive knots and surgeries between lens spaces 

      Baker, Kenneth L.; Hoffman, Neil R.; Licata, Joan E. (2019-04-05)
      This paper describes a Dehn surgery approach to generating asymmetric hyperbolic manifolds with two distinct lens space fillings. Such manifolds were first identified in work of Dunfield-Hoffman-Licata as the result of a ...

    • On knot complements that decompose into regular ideal dodecahedra 

      Hoffman, Neil (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 ...

    • On manifolds with multiple lens space filings 

      Baker, Kenneth L.; Doleshal, Brandy Guntel; Hoffman, Neil (2013-08-22)
      An irreducible 3--manifold with torus boundary either is a Seifert fibered space or admits at most three lens space fillings according to the Cyclic Surgery Theorem. We examine the sharpness of this theorem by classifying ...

    • Symmetries and hidden symmetries of ε,dL-twisted knot complements 

      Hoffman, Neil R.; Millichap, Christian; Worden, William (2019-09-23)
      In this paper we analyze symmetries, hidden symmetries, and commensurability classes of (ϵ,dL)-twisted knot complements, which are the complements of knots that have a sufficiently large number of twists in each of their ...