Bibliography Page 1 Bibliography In addition to the usual data each title contains one or more
code numbers indicating the particular fields the paper belongs to (eg, <K16>, knot groups; …

We show that if a knot admits a prime, twist-reduced diagram with at least 4 twist regions and
at least 6 crossings per twist region, then every non-trivial Dehn filling of that knot is …

A horospherical torus about a cusp of a hyperbolic manifold inherits a Euclidean similarity
structure, called a cusp shape. We bound the change in cusp shape when the hyperbolic …

We show that the cusp volume of a hyperbolic alternating knot can be bounded above and
below in terms of the twist number of an alternating diagram of the knot. This leads to …

We survey some tools and techniques for determining geometric properties of a link
complement from a link diagram. In particular, we survey the tools used to estimate …

Developed from geometric arguments for bounding the MorseNovikov number of a link in
terms of its tunnel number, we obtain upper and lower bounds on the handle number of a …

We find that cusp densities of hyperbolic knots in $ S^ 3$ include a dense subset of $[0,
0.6826\dots] $ and those of links are a dense subset of $[0, 0.853\dots] $. We define a new …

We show that the set of cusp shapes of hyperbolic tunnel number one manifolds is dense in
the Teichmüller space of the torus. A similar result holds for tunnel number $ n $ manifolds …

For every knot or link with hyperbolic complement, each cusp of the complement has a
geometric shape given by the Euclidean similarity class of structures on horoball …

Sean K un nudo en S3 y N= K× D2 una vecindad regular de K. Tomemos µ={x}×∂ D2, λ=
K×{y}(y∈∂ D2), un meridiano y una longitud del toro T= K×∂ D2, respectivamente. Una …