2 citations · 4 across the 3 of their papers we have counts for
7 papers · 1 filter
Abelian invariants of doubly slice links
Anthony Conway, Patrick Orson
We provide obstructions to a link in arising as the cross section of any number of unlinked spheres in . Our obstructions arise from the multivariable signature, the Bla…
A lower bound for the doubly slice genus from signatures
Patrick Orson, Mark Powell
The doubly slice genus of a knot in the 3-sphere is the minimal genus among unknotted orientable surfaces in the 4-sphere for which the knot arises as a cross-section. We use the c…
Doubly slice knots and metabelian obstructions
Patrick Orson, Mark Powell
For , we develop -signature obstructions for -dimensional knots with metabelian knot groups to be doubly slice. For each , we construct an infi…
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…
Triple linking numbers and surface systems
Christopher William Davis, Matthias Nagel, Patrick Orson +1
We give a refined value group for the collection of triple linking numbers of links in the 3-sphere. Given two links with the same pairwise linking numbers we show that they have t…
Smooth and topological almost concordance
Matthias Nagel, Patrick Orson, JungHwan Park +1
We investigate the disparity between smooth and topological almost concordance of knots in general 3-manifolds Y. Almost concordance is defined by considering knots in Y modulo con…