Yi Xie

activity

20172023

most citedInstanton Floer homology for sutured manifolds with tangles

17 citations · 52 across the 15 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.GT2020

Instantons and Khovanov skein homology on $I \times T^{2}$

Yi Xie, Boyu Zhang

Asaeda, Przytycki and Sikora defined a generalization of Khovanov homology for links in $I$ -bundles over compact surfaces. We prove that for a link $L \subset (- 1, 1) \times T^{2}$ , the…

math.GT2020★ 1 cited

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.

math.GT2020

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…

Instantons and Khovanov skein homology on I×T2

Two detection results of Khovanov homology on links

On links with Khovanov homology of small ranks

Instantons and Khovanov skein homology on $I \times T^{2}$