17 citations · 52 across the 15 of their papers we have counts for
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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…
Earrings, sutures and pointed links
Yi Xie
We prove a rank inequality on the instanton knot homology and the Khovanov homology of a link in . The key step of the proof is to construct a spectral sequence relating Baldw…
sl(3) Khovanov module and the detection of the planar theta-graph
Yi Xie
We introduce two invariants called sl(3) Khovanov module and pointed sl(3) Khovanov homology for spatial webs (bipartite trivalent graphs). Those invariants are related to Kronheim…
Instantons and Annular Khovanov Homology
Yi Xie
In this paper, we introduce the annular instanton Floer homology which is defined for links in a thickened annulus. It is an analogue of the annular Khovanov homology. A spectral s…