2 citations · 2 across the 4 of their papers we have counts for
4 papers
Triangulating Spun 2-Knot Complements
Rhuaidi Antonio Burke, Benjamin Burton, Arunima Ray +3
A -knot is an embedding of a -sphere into the -sphere. Similar to the case of embedding circles into the -sphere, this allows the -sphere to be knotted. In this shor…
Not all knots are smoothly round handle slice
Tye Lidman, Allison N. Miller, Arunima Ray
Freedman and Krushkal showed that if the surgery conjecture and the -cobordism conjecture hold for all topological 4-manifolds, then every link with pairwise zero linking number…
Constructing locally flat surfaces in 4-manifolds
Arunima Ray
There are two main approaches to building locally flat embedded surfaces in 4-manifolds: direct methods which geometrically manipulate a given map of a surface, and more indirect m…
A note on surfaces in and
Marco Marengon, Allison N. Miller, Arunima Ray +1
In this brief note, we investigate the -genus of knots, i.e. the least genus of a smooth, compact, orientable surface in boun…