Browsing by Subject "57M50: General geometric structures on low-dimensional manifolds"

Now showing items 1-6 of 6

    • Asymmetric hyperbolic L-spaces, Heegaard genus, and Dehn filling 

      Dunfield, Nathan M.; Hoffman, Neil R.; Licata, Joan E. (2014-07-29)

    • 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 the complexity of cusped non-hyperbolicity 

      Haraway, Robert, III; Hoffman, Neil R. (2019-07-02)
      We show that the problem of showing that a cusped 3-manifold M is not hyperbolic is in NP, assuming S3-RECOGNITION is in coNP. To this end, we show that IRREDUCIBLE TOROIDAL RECOGNITION lies in NP. Along the way we ...

    • Small PSL(2,F) representations of Seifert fiber space groups 

      Hoffman, Neil R.; Petersen, Kathleen L. (2022-09-12)
      Let M be a Seifert fiber space with non-abelian fundamental group and admitting a triangulation with t tetrahedra. We show that there is a non-abelian PSL(2,F) quotient where |F|<c(220t3120t) for an absolute constant c>0 ...

    • 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 ...

    • Verified computations for hyperbolic 3-manifolds 

      Hoffman, Neil; Ichihara, Kazuhiro; Kashiwagi, Masahide; Masai, Hidetoshi; Oishi, Shin'ichi; Takayasu, Akitoshi (2013-10-12)
      For a given cusped 3-manifold M admitting an ideal triangulation, we describe a method to rigorously prove that either M or a filling of M admits a complete hyperbolic structure via verified computer calculations. Central ...