3 citations · 3 across the 4 of their papers we have counts for
5 papers
Quasipositive fiber surfaces are not well-quasi-ordered
Joseph Breen, Michele Capovilla-Searle
By exhibiting an explicit infinite anti-chain, we show that the class of quasipositive fiber surfaces in is not well-quasi-ordered under the surface minor relation. This answ…
On the negative band number
Michele Capovilla-Searle, Tetsuya Ito, Keiko Kawamuro +1
We study the negative band number of braids, knots, and links using Birman, Ko, and Lee's left-canonical form of a braid. As applications, we characterize up to conjugacy strongly…
Birman-Ko-Lee Left Canonical Form and its Applications
Michele Capovilla-Searle, Keiko Kawamuro, Rebecca Sorsen
Using Birman, Ko, and Lee's left canonical form of a braid, we characterize almost strongly quasipositive braids and give estimates of the fractional Dehn twist coefficient.
Lower Bounds on Volumes of Hyperbolic 3-Manifolds via Decomposition
Colin Adams, Michele Capovilla-Searle, Darin Li +5
In a variety of settings we provide a method for decomposing a 3-manifold into pieces. When the pieces have the appropriate type of hyperbolicity, then the manifold is hype…
Generalized Augmented Cellular Alternating Links in Thickened Surfaces are Hyperbolic
Colin Adams, Michele Capovilla-Searle, Darin Li +5
Menasco proved that nontrivial links in the 3-sphere with connected prime alternating non-2-braid projections are hyperbolic. This was further extended to augmented alternating lin…