Browsing OSU - Faculty and Staff Publications by Author "d44a2ab1-2c3b-4aaf-9542-cc640c54995b"

Now showing items 1-4 of 4

    • Exceptional surgeries in 3-manifolds 

      Baker, Kenneth L.; Hoffman, Neil R. (2021-01-28)
      Myers shows that every compact, connected, orientable 3--manifold with no 2--sphere boundary components contains a hyperbolic knot. We use work of Ikeda with an observation of Adams-Reid to show that every 3--manifold ...

    • 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 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 ...

    • Poincare homology sphere, lens space surgeries, and some knots with tunnel number two 

      Baker, Kenneth L.; Hoffman, Neil R. (2015-04-25)
      We exhibit an infinite family of knots in the Poincare homology sphere with tunnel number 2 that have a lens space surgery. Notably, these knots are not doubly primitive and provide counterexamples to a few conjectures. ...