Anthony Conway

activity

20152026

most citedEmbedded surfaces with infinite cyclic knot group

16 citations · 76 across the 22 of their papers we have counts for

collaborators

Showing 2021Show all

5 papers · 1 filter

math.GT2021★ 6 cited

Twisted Blanchfield pairings and twisted signatures I: Algebraic background

Maciej Borodzik, Anthony Conway, Wojciech Politarczyk

This is the first paper in a series of three devoted to studying twisted linking forms of knots and three-manifolds. Its function is to provide the algebraic foundations for the ne…

math.GT2021

Twisted Blanchfield pairings and twisted signatures III: Applications

Maciej Borodzik, Anthony Conway, Wojciech Politarczyk

This paper describes how to compute algorithmically certain twisted signature invariants of a knot $K$ using twisted Blanchfield forms. An illustration of the algorithm is implemen…

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★ 2 cited

Stably diffeomorphic manifolds and the realisation of modified surgery obstructions

Anthony Conway, Diarmuid Crowley, Mark Powell +1

For every $k \geq 2$ we construct infinitely many $4 k$ -dimensional manifolds that are all stably diffeomorphic but pairwise not homotopy equivalent. Each of these manifolds has hyp…

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…