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math.GT2025
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…
math.GT2025
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…