56 citations · 277 across the 50 of their papers we have counts for
5 papers · 1 filter
Embedded Morse theory and relative splitting of cobordisms of manifolds
Maciej Borodzik, Mark Powell
We prove that an embedded cobordism between manifolds with boundary can be split into a sequence of right product and left product cobordisms, if the codimension of the embedding i…
Non-concordant links with homology cobordant zero framed surgery manifolds
Jae Choon Cha, Mark Powell
We use topological surgery in dimension four to give sufficient conditions for the zero framed surgery manifold of a 3-component link to be homology cobordant to the 3-torus, which…
Splitting numbers of links
Jae Choon Cha, Stefan Friedl, Mark Powell
The splitting number of a link is the minimal number of crossing changes between different components required, on any diagram, to convert it to a split link. We introduce new tech…
Smoothly slice boundary links whose derivative links have nonvanishing Milnor invariants
Hye Jin Jang, Min Hoon Kim, Mark Powell
We give an example of a 3-component smoothly slice boundary link, each of whose components has a genus one Seifert surface, such that any metaboliser of the boundary link Seifert f…
Shrinking of toroidal decomposition spaces
Daniel Kasprowski, Mark Powell
Given a sequence of oriented links L^1,L^2,L^3,... each of which has a distinguished, unknotted component, there is a decomposition of the 3-sphere naturally associated to it, whic…