3 citations · 5 across the 11 of their papers we have counts for
17 papers · 1 filter
Spanning solids and Murasugi sum in dimension four
Homayun Karimi, Seungwon Kim, Thomas Kindred +2
We study various constructions of spanning solids for knotted surfaces in the 4-sphere. In particular, we consider a 4-dimensional analogue of Murasugi sum, which we use to define…
An irreducible real projective plane in the 4-sphere
Mark Hughes, Seungwon Kim, Maggie Miller +1
We construct an irreducible embedded projective plane in . This gives a counterexample to the Kinoshita conjecture and answers Problem 4.37 of the K3 problem list. Moreover, w…
Non-isotopic splitting spheres for a split link in
Mark Hughes, Seungwon Kim, Maggie Miller
We show that there exist split, orientable, 2-component surface-links in with non-isotopic splitting spheres in their complements. In particular, for non-negative integers $m…
Explicitly describing fibered 3-manifolds through families of singularly fibered surfaces
Maggie Miller
We give an explicit description of a fibration of the complement of the closure of a homogeneous braid, understanding how each fiber intersects every cross-section of .
Slice obstructions from genus bounds in definite 4-manifolds
Paolo Aceto, Nickolas A. Castro, Maggie Miller +2
We discuss an obstruction to a knot being smoothly slice that comes from minimum-genus bounds on smoothly embedded surfaces in definite 4-manifolds. As an example, we provide an al…
Concordance of spheres in 4-manifolds with an immersed dual sphere
Michael Klug, Maggie Miller
Let and be two homotopic, oriented 2-spheres embedded in an orientable 4-manifold . After discussing several operations for modifying an immersion of a 3-manifold in…