14 citations · 37 across the 18 of their papers we have counts for
7 papers · 1 filter
Algorithms for Computing Invariants of Trisected Branched Covers
Patricia Cahn, Gordana Matic, Benjamin Ruppik
We give diagrammatic algorithms for computing the group trisection, homology groups, and intersection form of a closed, orientable, smooth 4-manifold, presented as a branched cover…
A group-theoretic framework for low-dimensional topology
Sarah Blackwell, Robion Kirby, Michael Klug +2
A correspondence, by way of Heegaard splittings, between closed oriented 3-manifolds and pairs of surjections from a surface group to a free group has been studied by Stallings, Ja…
Unknotting via null-homologous twists and multi-twists
Samantha Allen, Kenan Ince, Seungwon Kim +2
The untwisting number of a knot K is the minimum number of null-homologous twists required to convert K to the unknot. Such a twist can be viewed as a generalization of a crossing…
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…