3 papers
math.GT2025
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…
math.GT2025
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…
math.GT2023
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.