5 problems

Baldwin–Levine conjecture. The $\delta$-graded $\operatorname{\widehat{HFL}}(L)$ is invariant under Conway mutation of $L$.

Grid-diagram agreement conjecture. The maps described in terms of grid diagrams by Sarkar and Ozsváth–Stipsicz–Szabó are equal to the maps defined in this paper for elementary link…

Juhász–Zemke conjecture. The maps $\widehat{F}_{W,\mathcal{F}}$ coincide with the maps $F_{W,\mathcal{F}}$ defined by Juhász using sutured Floer homology.

Functoriality conjecture. Link Floer homology is functorial with respect to marked smooth isotopy classes of surfaces embedded in four-space: a marked surface with boundary…

Braid-group action conjecture. The two automorphisms $\rho(\sigma_i)$ and $\operatorname{Id}+\Psi_i\Phi_i$ in $\operatorname{Aut}_{N(K(\mathcal{A}_l))}(\mathit{CFL}(Y,L,p))$ are eq…