6 problems

Trivial-torsion conjecture. The torsion group $G_{\mathrm{tor}}$ in Lemma 4 is trivial:

Connected excision conjecture. Theorem 1 continues to hold when the disjoint union $(M_1\sqcup M_2,gamma_1\cupgamma_2)$ is replaced by the connected balanced sutured manifold…

Let $(M,\gamma)$ be a balanced sutured manifold, and let $\mathcal{W}=(W=M\times[0,1],Z=\partial M\times[0,1],[\xi])$ be the trace sutured cobordism from…

Let $(M_1,gamma_1)$ and $(M_2,gamma_2)$ be balanced sutured manifolds, and let $(W,Z,[\xi])$ be sutured cobordism data, where $Z$ is equipped with a contact structure whose boundar…

Let $(M,\Gamma,\xi)$ be a sutured contact manifold, and let $\psi(M,\Gamma,\xi)\in\underline{SHM}(-M,-\Gamma)$ and $EH(M,\Gamma,\xi)\in SFH(-M,-\Gamma)$ denote the monopole Floer a…

Let $(M,\Gamma,\xi_M)$ be a sutured contact manifold contained in $(M',\Gamma')$, and let $\xi$ be a contact structure on $M'\smallsetminus \operatorname{int}(M)$ with dividing set…