4 citations · 6 across the 4 of their papers we have counts for
4 papers
Bridge trisections and Seifert solids
Jason Joseph, Jeffrey Meier, Maggie Miller +1
We adapt Seifert's algorithm for classical knots and links to the setting of tri-plane diagrams for bridge trisected surfaces in the 4-sphere. Our approach allows for the construct…
Bridge trisections and classical knotted surface theory
Jason Joseph, Jeffrey Meier, Maggie Miller +1
We seek to connect ideas in the theory of bridge trisections with other well-studied facets of classical knotted surface theory. First, we show how the normal Euler number can be c…
Bridge numbers and meridional ranks of knotted surfaces and welded knots
Jason Joseph, Puttipong Pongtanapaisan
The Meridional Rank Conjecture asks whether the bridge number of a knot in is equal to the minimal number of meridians needed to generate the fundamental group of its complem…
0-concordance of knotted surfaces and Alexander ideals
Jason Joseph
In this paper we provide a new obstruction to 0-concordance of knotted surfaces in in terms of Alexander ideals. We use this to prove the existence of infinitely many linearl…