50 citations · 405 across the 46 of their papers we have counts for
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math.GT2021★ 5 cited
Small Dehn surgery and SU(2)
John A. Baldwin, Zhenkun Li, Steven Sivek +1
We prove that the fundamental group of 3-surgery on a nontrivial knot in the 3-sphere always admits an irreducible SU(2)-representation. This answers a question of Kronheimer and M…
math.GT2021★ 8 cited
Khovanov homology and the cinquefoil
John A. Baldwin, Ying Hu, Steven Sivek
We prove that Khovanov homology with coefficients in detects the torus knot. Our proof makes use of a wide range of deep tools in Floer homology, K…
math.GT2021★ 8 cited
Instanton L-spaces and splicing
John A. Baldwin, Steven Sivek
We prove that the 3-manifold obtained by gluing the complements of two nontrivial knots in homology 3-sphere instanton L-spaces, by a map which identifies meridians with Seifert lo…