Anthony Conway

activity

20182022

most citedThe Levine-Tristram signature: a survey

1 citations · 1 across the 3 of their papers we have counts for

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math.GT2022

Invariants of $2$ -knots

Anthony Conway

This short survey, which was written to accompany a minicourse at the BIRS conference "Topology in dimension 4.5", concerns invariants of knotted $2$ -spheres in $S^{4}$ , also known a…

math.GT2021

Simply-connected manifolds with large homotopy stable classes

Anthony Conway, Diarmuid Crowley, Mark Powell +1

For every $k \geq 2$ and $n \geq 2$ we construct $n$ pairwise homotopically inequivalent simply-connected, closed $4 k$ -dimensional manifolds, all of which are stably diffeomorphic…

math.GT2021

Abelian invariants of doubly slice links

Anthony Conway, Patrick Orson

We provide obstructions to a link in $S^{3}$ arising as the cross section of any number of unlinked spheres in $S^{4}$ . Our obstructions arise from the multivariable signature, the Bla…

math.GT2019

A note on the weak splitting number

Alberto Cavallo, Carlo Collari, Anthony Conway

The weak splitting number $w s p (L)$ of a link $L$ is the minimal number of crossing changes needed to turn $L$ into a split union of knots. We describe conditions under which certai…

math.GT2019★ 1 cited

The Levine-Tristram signature: a survey

Anthony Conway

The Levine-Tristram signature associates to each oriented link $L$ in $S^{3}$ a function $σ_{L} : S^{1} \to Z .$ This invariant can be defined in a variety of ways, and its…

math.GT2019

Stably slice disks of links

Anthony Conway, Matthias Nagel

We define the stabilizing number $sn (K)$ of a knot $K \subset S^{3}$ as the minimal number $n$ of $S^{2} \times S^{2}$ connected summands required for $K$ to bound a nullh…

Invariants of 2-knots

Simply-connected manifolds with large homotopy stable classes

Abelian invariants of doubly slice links

A note on the weak splitting number

The Levine-Tristram signature: a survey

Stably slice disks of links

Invariants of $2$ -knots