137 citations · 479 across the 18 of their papers we have counts for
5 papers · 1 filter
Smoothing finite group actions on three-manifolds
John Pardon
We show that every continuous action of a finite group on a smooth three-manifold is a uniform limit of smooth actions.
Totally disconnected groups (not) acting on two-manifolds
John Pardon
We briefly survey the Hilbert--Smith Conjecture, and we include a proof of it in dimension two (where it is originally due to Montgomery--Zippin).
The Hilbert--Smith conjecture for three-manifolds
John Pardon
We show that every locally compact group which acts faithfully on a connected three-manifold is a Lie group. By known reductions, it suffices to show that there is no faithful acti…
The link concordance invariant from Lee homology
John Pardon
We use the knot homology of Khovanov and Lee to construct link concordance invariants generalizing the Rasmussen -invariant of knots. The relevant invariant for a link is a filt…
On the distortion of knots on embedded surfaces
John Pardon
Our main result is a nontrivial lower bound for the distortion of some specific knots. In particular, we show that the distortion of the torus knot satisfies $δ(T_{p,q})>…