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math.GT2026
Lens space surgeries on knots of small genus
Misha Schmalian, Steven Sivek
We prove that the pretzel knot is the only hyperbolic knot of genus at most with a lens space surgery. Our key technical result asserts that if a genus- hyperboli…
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…