Publications (4)
Gordian Distance and Complete Alexander Neighbors
Ana Wright
We call a knot a complete Alexander neighbor if every possible Alexander polynomial is realized by a knot one crossing change away from . It is unknown whether there exists…
L-space knots with tunnel number >1 by experiment
Chris Anderson, Kenneth L. Baker, Xinghua Gao +8
In Dunfield's catalog of the hyperbolic manifolds in the SnapPy census which are complements of L-space knots in , we determine that have tunnel number while the rema…
Colorings of symmetric unions and partial knots
Ben Clingenpeel, Zongzheng Dai, Gabriel Diraviam +12
Motivated by work of Kinoshita and Teraska, Lamm introduced the notion of a symmetric union, which can be constructed from a partial knot by introducing additional crossings to…
Tri-plane diagrams for simple surfaces in
Wolfgang Allred, Manuel Aragón, Zack Dooley +8
Meier and Zupan proved that an orientable surface in admits a tri-plane diagram with zero crossings if and only if is unknotted, so that the cross…