50 citations · 471 across the 44 of their papers we have counts for
6 papers · 1 filter
Zero-surgery characterizes infinitely many knots
John A. Baldwin, Steven Sivek
We prove that 0 is a characterizing slope for infinitely many knots, namely the genus-1 knots whose knot Floer homology is 2-dimensional in the top Alexander grading, which we clas…
An instanton take on some knot detection results
John A. Baldwin, Steven Sivek
We give new proofs that Khovanov homology detects the figure eight knot and the cinquefoils, and that HOMFLY homology detects and each of the pretzel knots. Fo…
Characterizing slopes for
John A. Baldwin, Steven Sivek
We prove that all rational slopes are characterizing for the knot , except possibly for positive integers. Along the way, we classify the Dehn surgeries on knots in that…
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…
Framed instanton homology and concordance, II
John A. Baldwin, Steven Sivek
We continue our study of the integer-valued knot invariants and , which together determine the dimensions of the framed instanton homologies of all nonzero De…
Floer homology and right-veering monodromy
John A. Baldwin, Yi Ni, Steven Sivek
We prove that the knot Floer complex of a fibered knot detects whether the monodromy of its fibration is right-veering. In particular, this leads to a purely knot Floer-theoretic c…