3 papers
math.CO2023★ 1 cited
On faces of the Kunz cone and the numerical semigroups within them
Levi Borevitz, Tara Gomes, Jiajie Ma +6
A numerical semigroup is a cofinite subset of the non-negative integers that is closed under addition and contains 0. Each numerical semigroup with fixed smallest positive elem…
math.AT2021
Relative Topological Complexity and Configuration Spaces
Bryan Boehnke, Steven Scheirer, Shuhang Xue
Given a space , the topological complexity of , denoted by , can be viewed as the minimum number of "continuous rules" needed to describe how to move between any two p…
math.GT2020
The purely cosmetic surgery conjecture is true for the Kinoshita-Terasaka and Conway knot families
Bryan Boehnke, Conan Gillis, Hanwen Liu +1
We show that all nontrivial members of the Kinoshita-Terasaka and Conway knot families satisfy the purely cosmetic surgery conjecture.