2 problems

Algebraic torsion conjecture. Then $(V,\xi)$ has algebraic $1$-torsion, and it is also algebraically overtwisted if $N$ contains any blown down boundary components.

Let $\Xi(3)$ denote the collection of closed $3$--manifolds with positive, cooriented contact structures. Let $\Xi_{\text{\textsf{embed}}}(3)$ consist of those $(M,\xi)\in\Xi(3)$ t…