3 citations · 4 across the 3 of their papers we have counts for
5 papers
A counterexample to Batson's conjecture
Andrew Lobb
We show that the torus knot bounds a smooth Möbius band in the -ball, giving a counterexample to Batson's non-orientable analogue of Milnor's conjecture on the smooth…
Khovanov homotopy calculations using flow category calculus
Andrew Lobb, Patrick Orson, Dirk Schuetz
The Lipshitz-Sarkar stable homotopy link invariant defines Steenrod squares on the Khovanov cohomology of a link. Lipshitz-Sarkar constructed an algorithm for computing the first t…
The Dold-Whitney theorem and the Sato-Levine invariant
Andrew Lobb
We use the Dold-Whitney theorem classifying -bundles over a 4-complex to give a mod 4 obstruction to a 2-component link of trivial linking number being slice. It turns out t…
Morse moves in flow categories
Dan Jones, Andrew Lobb, Dirk Schuetz
We pursue the analogy of a framed flow category with the flow data of a Morse function. In classical Morse theory, Morse functions can sometimes be locally altered and simplified b…
An sl_n stable homotopy type for matched diagrams
Dan Jones, Andrew Lobb, Dirk Schuetz
There exists a simplified Bar-Natan Khovanov complex for open 2-braids. The Khovanov cohomology of a knot diagram made by gluing tangles of this type is therefore often amenable to…