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math.GT2025
Intrinsic Khovanov homology in
Qiuyu Ren, Hongjian Yang
We prove that Khovanov homology is an invariant of links in unparametrized 's, i.e., oriented -manifolds diffeomorphic to . Along the way, we estab…
math.GT2025
Adjunction inequality for spatially refined -invariants
Qiuyu Ren
We note an adjunction inequality in for the -version of the -refinement of Rasmussen's -invariant. This does not hold for general spatial re…
math.GT2024
Cosmetic surgery on satellite knots
Qiuyu Ren
We show that if there exists a knot in that admits purely cosmetic surgeries, then there exists a hyperbolic one with this property.