50 citations · 471 across the 44 of their papers we have counts for
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math.GT2018★ 8 cited
Khovanov homology detects the Hopf links
John A. Baldwin, Steven Sivek, Yi Xie
We prove that any link in whose Khovanov homology is the same as that of a Hopf link must be isotopic to that Hopf link. This holds for both reduced and unreduced Khovanov ho…
math.GT2018★ 13 cited
A note on the knot Floer homology of fibered knots
John A. Baldwin, David Shea Vela-Vick
We prove that the knot Floer homology of a fibered knot is nontrivial in its next-to-top Alexander grading. Immediate applications include new proofs of Krcatovich's result that kn…
math.GT2018★ 50 cited
Khovanov homology detects the trefoils
John A. Baldwin, Steven Sivek
We prove that Khovanov homology detects the trefoils. Our proof incorporates an array of ideas in Floer homology and contact geometry. It uses open books; the contact invariants we…