activity
20062026
most citedKhovanov homology detects the trefoils

50 citations · 471 across the 44 of their papers we have counts for

collaborators

49 papers

math.GT2026

Ribbon concordance and fibered predecessors, II: the general case

John A. Baldwin, Jonathan Hanselman, Steven Sivek

The first and third authors recently proved that for each knot there are only finitely many hyperbolic fibered knots which are ribbon concordant to . In this pape…

math.GT2025

Ribbon concordance and fibered predecessors

John A. Baldwin, Steven Sivek

Given any knot K in the 3-sphere, we prove that there are only finitely many hyperbolic fibered knots which are ribbon concordant to K. It follows that every fibered knot in the 3-…

math.GT2025

Pseudo-Anosov flows on hyperbolic L-spaces

John A. Baldwin, Steven Sivek, Jonathan Zung

We prove that for each there is a hyperbolic L-space with pseudo-Anosov flows, no two of which are orbit equivalent. These flows have no perfect fits and are t…

math.GT2025

L-spaces and knot traces

John A. Baldwin, Steven Sivek

There has been a great deal of interest in understanding which knots are characterized by which of their Dehn surgeries. We study a 4-dimensional version of this question: which kn…

math.GT2024

Torus knots, the A-polynomial, and SL(2,C)

John A. Baldwin, Steven Sivek

The A-polynomial of a knot is defined in terms of SL(2,C) representations of the knot group, and encodes information about essential surfaces in the knot complement. In 2005, Dunfi…

math.GT2023

Small Heegaard genus and SU(2)

John A. Baldwin, Steven Sivek

Let be a closed, orientable 3-manifold with Heegaard genus 2. We prove that if has order , , or , then there is a representation $π_1(Y) \to \mathr…