Homological invariants of codimension 2 contact submanifolds

Infinite not contact isotopic embeddings in $(S^{2n-1},ξ_{\mathrm{std}})$ for $n\ge 4$

“…There is another method to differ contact submanifolds via studying contact homology coupled with the intersection data with the holomorphic hypersurface given by the symplectization of the contact submanifold. Such invariants were introduced by Côté and Fauteux-Chapleau [7], where they reproved [5, Theorem 1.1] for (S 4n − 1, ξ std ) and n > 1.…”

Infinite not contact isotopic embeddings in (S2n−1,ξstd)$(S^{2n-1},\xi _{\rm {std}})$ for n⩾4$n\geqslant 4$

“…There is another method to distinguish contact submanifolds via studying contact homology coupled with the intersection data with the holomorphic hypersurface given by the symplectization of the contact submanifold. Such invariants were introduced in [7] by Côté and Fauteux-Chapleau, who used them to provide an alternative proof that some of different contact submanifolds built in [4] via contact push-off are indeed not contact isotopic, reproving [4, Theorem 1.1] for (𝑆 4𝑛−1 , 𝜉 std ) and 𝑛 > 1.…”