55 citations · 242 across the 28 of their papers we have counts for
4 papers · 1 filter
Independence of volume and genus bridge numbers
Jessica S. Purcell, Alexander Zupan
A theorem of Jorgensen and Thurston implies that the volume of a hyperbolic 3-manifold is bounded below by a linear function of its Heegaard genus. Heegaard surfaces and bridge sur…
New examples of Brunnian theta graphs
Byoungwook Jang, Anna Kronaeur, Pratap Luitel +3
The Kinoshita graph is the most famous example of a Brunnian theta graph, a nontrivial spatial theta graph with the property that removing any edge yields an unknot. We produce a n…
Bridge trisections of knotted surfaces in
Jeffrey Meier, Alexander Zupan
We introduce bridge trisections of knotted surfaces in the four-sphere. This description is inspired by the work of Gay and Kirby on trisections of four-manifolds and extends the c…
Classification of trisections and the Generalized Property R Conjecture
Jeffrey Meier, Trent Schirmer, Alexander Zupan
We show that the members of a large class of unbalanced four-manifold trisections are standard, and we present a family of trisections that is likely to include non-standard trisec…