1 citations · 1 across the 4 of their papers we have counts for
4 papers
A deformation of Asaeda-Przytycki-Sikora homology
Zhenkun Li, Yi Xie, Boyu Zhang
We define a 1-parameter family of homology invariants for links in thickened oriented surfaces. It recovers the homology invariant of Asaeda-Przytycki-Sikora (arxiv:0409414) and th…
Instanton homology and knot detection on thickened surfaces
Zhenkun Li, Yi Xie, Boyu Zhang
Suppose is a compact oriented surface (possibly with boundary) that has genus zero, and L is a link in the interior of . We prove that the Asaeda-Przytycki-Sikor…
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…
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.