25 citations · 76 across the 17 of their papers we have counts for
4 papers · 1 filter
Homomorphism obstructions for satellite maps
Allison N. Miller
A knot in a solid torus defines a map on the set of (smooth or topological) concordance classes of knots in . This set admits a group structure, but a conjecture of Hedden sug…
A note on the topological slice genus of satellite knots
Peter Feller, Allison N. Miller, Juanita Pinzon-Caicedo
This paper presents evidence supporting the surprising conjecture that in the topological category the slice genus of a satellite knot is bounded above by the sum of the sli…
Stabilization distance between surfaces
Allison N. Miller, Mark Powell
Define the 1-handle stabilization distance between two surfaces properly embedded in a fixed 4-dimensional manifold to be the minimal number of 1-handle stabilizations necessary fo…
Two-solvable and two-bipolar knots with large four-genera
Jae Choon Cha, Allison N. Miller, Mark Powell
For every integer g, we construct a 2-solvable and 2-bipolar knot whose topological 4-genus is greater than g. Note that 2-solvable knots are in particular algebraically slice and…