Anthony Conway

activity

20182021

most citedThe Levine-Tristram signature: a survey

1 citations · 1 across the 2 of their papers we have counts for

collaborators

6 papers

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…

math.GT2018

A multivariable Casson-Lin type invariant

Léo Bénard, Anthony Conway

We introduce a multivariable Casson-Lin type invariant for links in $S^{3}$ . This invariant is defined as a signed count of irreducible $SU (2)$ representations of the…