2 papers
math.GT2018
A Reidemeister type theorem for petal diagrams of knots
Leslie Colton, Cory Glover, Mark Hughes +1
We study petal diagrams of knots, which provide a method of describing knots in terms of permutations in a symmetric group . We define two classes of moves on such permut…
math.GT2018
Isotopies of surfaces in 4-manifolds via banded unlink diagrams
Mark C. Hughes, Seungwon Kim, Maggie Miller
In this paper, we study surfaces embedded in -manifolds. We give a complete set of moves relating banded unlink diagrams of isotopic surfaces in an arbitrary -manifold. This…