3 citations · 4 across the 4 of their papers we have counts for
7 papers
On Floer minimal knots in sutured manifolds
Zhenkun Li, Yi Xie, Boyu Zhang
Suppose is a balanced sutured manifold and is a rationally null-homologous knot in . It is known that the rank of the sutured Floer homology of i…
On meridian-traceless SU(2)-representations of link groups
Yi Xie, Boyu Zhang
Suppose L is a link in . We show that admits an irreducible meridian-traceless representation in SU(2) if and only if L is not the unknot, the Hopf link, or a con…
Instantons and Khovanov skein homology on
Yi Xie, Boyu Zhang
Asaeda, Przytycki and Sikora defined a generalization of Khovanov homology for links in -bundles over compact surfaces. We prove that for a link , the…
Two detection results of Khovanov homology on links
Zhenkun Li, Yi Xie, Boyu Zhang
We prove that Khovanov homology with Z/2-coefficients detects the link L7n1, and the union of a trefoil and its meridian.
On links with Khovanov homology of small ranks
Yi Xie, Boyu Zhang
We classify all links whose Khovanov homology have ranks no greater than 8, and all three-component links whose Khovanov homology have ranks no greater than 12, where the coefficie…
Classification of links with Khovanov homology of minimal rank
Yi Xie, Boyu Zhang
If L is an oriented link with components, then the rank of its Khovanov homology is at least . We classify all the links whose Khovanov homology with Z/2-coefficients achi…