activity
19972021
most citedKnots with unknotting number 1 and essential Conway spheres

33 citations · 107 across the 19 of their papers we have counts for

collaborators

22 papers

math.GT2021

On the homeomorphism problem for 4-manifolds

Cameron McA Gordon

We show that there is no algorithm to decide whether or not a given 4-manifold is homeomorphic to the connected sum of 12 copies of S^2 \times S^2.

math.GT2021

Slope detection and toroidal 3-manifolds

Steven Boyer, Cameron McA Gordon, Ying Hu

The -space conjecture asserts the equivalence, for prime 3-manifolds, of three properties: not being an -space, having a left-orderable fundamental group, and admitting a co-…

math.GT2018

On definite strongly quasipositive links and L-space branched covers

Michel Boileau, Steven Boyer, Cameron McA. Gordon

We investigate the problem of characterising the family of strongly quasipositive links which have definite symmetrised Seifert forms and apply our results to the problem of determ…

math.GT2015

Knot contact homology detects cabled, composite, and torus knots

Cameron Gordon, Tye Lidman

Knot contact homology is an invariant of knots derived from Legendrian contact homology which has numerous connections to the knot group. We use basic properties of knot groups to…

math.GT2014

Taut foliations, left-orderability, and cyclic branched covers

Cameron Gordon, Tye Lidman

We study the question of when cyclic branched covers of knots admit taut foliations, have left-orderable fundamental group, and are not L-spaces.

math.GT2013★ 25 cited

Bridge number and integral Dehn surgery

Ken Baker, Cameron Gordon, John Luecke

In a 3-manifold M, let K be a knot and R be an annulus which meets K transversely. We define the notion of the pair (R,K) being caught by a surface Q in the exterior of the link gi…