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Strict rank inequality between Khovanov and instanton Floer homology for non-local knots in $\mathbb{RP}^3$
Let $K$ be a non-local null-homologous knot in $\mathbb{RP}^3$ . Let $\widetilde{\operatorname{Kh}}(K;\mathbb{Z}/2)$ denote reduced Khovanov homology over $\mathbb{Z}/2$ , and let…
openinstanton-floer-homology khovanov-homology real-projective-three-space
04
Rank-three Khovanov homology classification for null-homologous knots in $\mathbb{RP}^3$
Let $K$ be a null-homologous knot in $\mathbb{RP}^3$ . Write $\widetilde{\operatorname{Kh}}(K;\mathbb{Z}/2)$ for its reduced Khovanov homology over $\mathbb{Z}/2$ . Rank-three Khovan…
openkhovanov-homology knots real-projective-three-space
05

Strict rank inequality between Khovanov and instanton Floer homology for non-local knots in RP3\mathbb{RP}^3RP3