6 papers
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…
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…
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…
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-…
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…
Floer homology and non-fibered knot detection
John A. Baldwin, Steven Sivek
We prove for the first time that knot Floer homology and Khovanov homology can detect non-fibered knots, and that HOMFLY homology detects infinitely many such knots; these theories…