collaborators

6 papers

math.GT2026

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.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

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.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

Homology lens spaces and

Sudipta Ghosh, Steven Sivek, Raphael Zentner

We prove that if is a closed, oriented 3-manifold with first homology of order less than , then there is an irreducible representation $π_1(Y) \to \math…

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…