1 citations · 1 across the 7 of their papers we have counts for
7 papers
The link surgery modules of 2-component L-space links
Daren Chen, Ian Zemke, Hugo Zhou
In our earlier work, we studied the link surgery modules of two component L-space links. Therein, we computed two of the four idempotents of such modules. In this article, we use K…
Applications of the L-space satellite formula
Daren Chen, Ian Zemke, Hugo Zhou
We give a formula for the -invariant of a satellite knot when is an L-space satellite operator. Our formula holds for general L-space satellite operators when t…
The flip map and involutions on Khovanov homology
Daren Chen, Hongjian Yang
The flip symmetry on knot diagrams induces an involution on Khovanov homology. We prove that this involution is determined by its behavior on unlinks; in particular, it is the iden…
L-space satellite operators and knot Floer homology
Daren Chen, Ian Zemke, Hugo Zhou
We consider satellite operators where the corresponding 2-component link is an L-space link. This family includes many commonly studied satellite operators, including cabling opera…
A note on rational band moves
Daren Chen, Jennifer Hom, Min Hoon Kim +2
We introduce an oriented rational band move, a generalization of an ordinary oriented band move, and show that if a knot in the three-sphere can be made into the -compon…
Bar-Natan Homology for null homologous links in \mathbb{RP}^3
Daren Chen
In this paper, we introduce Bar-Natan homology for null homologous links in \mathbb{RP}^3 over the field of two elements. It is a deformation of the Khovanov homology in \mathbb{RP…
Adiabatic compactness for holomorphic curves with boundary on nearby Lagrangians
Dylan Cant, Daren Chen
In his 1989 paper, Floer established a connection between holomorphic strips with boundary on a Lagrangian and a small Hamiltonian push-off , and gradient flow lines for…