3 papers
math.GT2026
The -adjacency graph for knots
Marion Campisi, Brandy Doleshal, Eric Staron
A knot is called -adjacent to a knot if there is a set of crossing circles in so that a generalized crossing change at any nonempty subset of cross…
math.GT2026
Genus two Goeritz equivalence in lens spaces
Brandy Doleshal, Matt Rathbun
In this paper, we consider the action of the Goeritz group for the genus two Heegaard splitting of the lens space with on the homology of the Heega…
math.GT2025
Twisted torus knots with Horadam parameters
Brandy Doleshal
Sangyop Lee has done much work to determine the knot types of twisted torus knots, including classifying the twisted torus knots which are the unknot. Among the unknotted twisted t…