3 problems

Bourgeois–Ekholm–Eliashberg cyclic surgery conjecture. Under this isomorphism, the surgery exact triangle for cyclic Legendrian contact homology is identified with the exact triang…

Bourgeois–Ekholm–Eliashberg surgery conjecture. These isomorphisms identify the tautological exact triangle involving $SH_*^{=0}$, $SH_*$, and $SH_*^{>0}$ for $(W,\partial^-W)$ wit…

Contact (-1)-surgery tightness conjecture. Contact $(-1)$-surgery on a Legendrian in a tight contact manifold always produces a tight contact manifold.