14 citations · 37 across the 18 of their papers we have counts for
4 papers · 1 filter
Homotopy classification of 4-manifolds whose fundamental group is dihedral
Daniel Kasprowski, John Nicholson, Benjamin Ruppik
We show that the homotopy type of a finite oriented Poincaré 4-complex is determined by its quadratic 2-type provided its fundamental group is finite and has a dihedral Sylow 2-sub…
Deep and shallow slice knots in 4-manifolds
Michael Klug, Benjamin Ruppik
We consider slice disks for knots in the boundary of a smooth compact 4-manifold . We call a knot deep slice in if there is a smooth properly embe…
Unknotting numbers of 2-spheres in the 4-sphere
Jason Joseph, Michael Klug, Benjamin Ruppik +1
We compare two naturally arising notions of unknotting number for 2-spheres in the 4-sphere: namely, the minimal number of 1-handle stabilizations needed to obtain an unknotted sur…
Homotopy classification of 4-manifolds with finite abelian 2-generator fundamental groups
Daniel Kasprowski, Mark Powell, Benjamin Ruppik
We show that for an oriented 4-dimensional Poincaré complex with finite fundamental group, whose 2-Sylow subgroup is abelian with at most 2 generators, the homotopy type is determi…