55 citations · 299 across the 25 of their papers we have counts for
4 papers · 2 filters
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…
A note on cabled slice knots and reducible surgeries
Jeffrey Meier
We consider the question of when a slice knot admits a reducible Dehn surgery. By analyzing the correction terms associated to such a surgery, we show that slice knots cannot admit…
Doubly slice knots with low crossing number
Charles Livingston, Jeffrey Meier
A knot in the three-sphere is doubly slice if it is the cross-section of an unknotted two-sphere in the four-sphere. For low-crossing knots, the most complete work to date gives a…